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1010200120100 = 2252291528722787
BaseRepresentation
bin11101011001101001001…
…11101000101100100100
310120120111120202012202222
432230310213220230210
5113022342212320400
62052025102251512
7132661462225343
oct16546447505444
93516446665688
101010200120100
1135a4726a5116
12143949b86b98
1374352582b72
1436c72dbdb5a
151b426ea4185
hexeb349e8b24

1010200120100 has 72 divisors (see below), whose sum is σ = 2267972965440. Its totient is φ = 390103611520.

The previous prime is 1010200120099. The next prime is 1010200120121. The reversal of 1010200120100 is 10210020101.

1010200120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44320907 + ... + 44343693.

It is an arithmetic number, because the mean of its divisors is an integer number (31499624520).

Almost surely, 21010200120100 is an apocalyptic number.

1010200120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010200120100 is an abundant number, since it is smaller than the sum of its proper divisors (1257772845340).

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

1010200120100 is a wasteful number, since it uses less digits than its factorization.

1010200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38117 (or 38110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010200120100 its reverse (10210020101), we get a palindrome (1020410140201).

Subtracting from 1010200120100 its reverse (10210020101), we obtain a palindrome (999990099999).

It can be divided in two parts, 10102001 and 20100, that added together give a palindrome (10122101).

The spelling of 1010200120100 in words is "one trillion, ten billion, two hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 15287 22787 30574 45574 61148 76435 91148 113935 152870 227870 305740 382175 443323 455740 569675 660823 764350 886646 1139350 1321646 1528700 1773292 2216615 2278700 2643292 3304115 4433230 6608230 8866460 11083075 13216460 16520575 22166150 33041150 44332300 66082300 348344869 696689738 1393379476 1741724345 3483448690 6966897380 8708621725 10102001201 17417243450 20204002402 34834486900 40408004804 50510006005 101020012010 202040024020 252550030025 505100060050 1010200120100