101120010100 has 36 divisors (see below), whose sum is σ = 226996994700. Its totient is φ = 39053244160.

The previous prime is 101120010083. The next prime is 101120010127. The reversal of 101120010100 is 1010021101.

It can be written as a sum of positive squares in 6 ways, for example, as 9536303716 + 91583706384 = 97654^2 + 302628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17431585 + ... + 17437384.

It is an arithmetic number, because the mean of its divisors is an integer number (6305472075).

Almost surely, 2^101120010100 is an apocalyptic number.

101120010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120010100 is an abundant number, since it is smaller than the sum of its proper divisors (125876984600).

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

101120010100 is a wasteful number, since it uses less digits than its factorization.

101120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34869012 (or 34869005 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101120010100 its reverse (1010021101), we get a palindrome (102130031201).

The spelling of 101120010100 in words is "one hundred one billion, one hundred twenty million, ten thousand, one hundred".