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102021000001120 = 2552990724241769
BaseRepresentation
bin10111001100100110011101…
…011101101111011001100000
3111101020010000220100222011001
4113030212131131233121200
5101333003002000013440
61000551444514401344
730326526325541344
oct2714463535573140
9441203026328131
10102021000001120
112a563954900692
12b53842a590254
1344c07012c2785
141b29bb26d5624
15bbdc011e9b9a
hex5cc99d76f660

102021000001120 has 96 divisors (see below), whose sum is σ = 249610717994400. Its totient is φ = 39357770919936.

The previous prime is 102021000001099. The next prime is 102021000001139. The reversal of 102021000001120 is 21100000120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102021000001097 and 102021000001106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7912405 + ... + 16329364.

It is an arithmetic number, because the mean of its divisors is an integer number (2600111645775).

Almost surely, 2102021000001120 is an apocalyptic number.

102021000001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021000001120 is an abundant number, since it is smaller than the sum of its proper divisors (147589717993280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102021000001120 is a wasteful number, since it uses less digits than its factorization.

102021000001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24242720 (or 24242712 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102021000001120 its reverse (21100000120201), we get a palindrome (123121000121321).

The spelling of 102021000001120 in words is "one hundred two trillion, twenty-one billion, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 907 928 1160 1814 2320 3628 4535 4640 7256 9070 14512 18140 26303 29024 36280 52606 72560 105212 131515 145120 210424 263030 420848 526060 841696 1052120 2104240 4208480 24241769 48483538 96967076 121208845 193934152 242417690 387868304 484835380 703011301 775736608 969670760 1406022602 1939341520 2812045204 3515056505 3878683040 5624090408 7030113010 11248180816 14060226020 21987284483 22496361632 28120452040 43974568966 56240904080 87949137932 109936422415 112481808160 175898275864 219872844830 351796551728 439745689660 637631250007 703593103456 879491379320 1275262500014 1758982758640 2550525000028 3188156250035 3517965517280 5101050000056 6376312500070 10202100000112 12752625000140 20404200000224 25505250000280 51010500000560 102021000001120