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2100102221120 = 26525126146691
BaseRepresentation
bin11110100011110111110…
…110001100110101000000
321102202201201211120020012
4132203313312030311000
5233402002132033440
64244435035004052
7304504330226231
oct36436766146500
97382651746205
102100102221120
1173a714a55152
1229b01bb99628
131230672b4587
147390731d088
15399661a9e65
hex1e8f7d8cd40

2100102221120 has 56 divisors (see below), whose sum is σ = 5020792384608. Its totient is φ = 836694080000.

The previous prime is 2100102221057. The next prime is 2100102221149. The reversal of 2100102221120 is 211222010012.

It is a super-3 number, since 3×21001022211203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100102221095 and 2100102221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12993026 + ... + 13153665.

It is an arithmetic number, because the mean of its divisors is an integer number (89657006868).

Almost surely, 22100102221120 is an apocalyptic number.

2100102221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100102221120 is an abundant number, since it is smaller than the sum of its proper divisors (2920690163488).

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

2100102221120 is a wasteful number, since it uses less digits than its factorization.

2100102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146959 (or 26146949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100102221120 its reverse (211222010012), we get a palindrome (2311324231132).

The spelling of 2100102221120 in words is "two trillion, one hundred billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 1004 1255 2008 2510 4016 5020 8032 10040 16064 20080 40160 80320 26146691 52293382 104586764 130733455 209173528 261466910 418347056 522933820 836694112 1045867640 1673388224 2091735280 4183470560 6562819441 8366941120 13125638882 26251277764 32814097205 52502555528 65628194410 105005111056 131256388820 210010222112 262512777640 420020444224 525025555280 1050051110560 2100102221120