101000121200110 has 64 divisors (see below), whose sum is σ = 204780935614464. Its totient is φ = 35532883526400.

The previous prime is 101000121200107. The next prime is 101000121200149. The reversal of 101000121200110 is 11002121000101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8492967 + ... + 16556893.

It is an arithmetic number, because the mean of its divisors is an integer number (3199702118976).

Almost surely, 2^{101000121200110} is an apocalyptic number.

101000121200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000121200110 is an abundant number, since it is smaller than the sum of its proper divisors (103780814414354).

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

101000121200110 is a wasteful number, since it uses less digits than its factorization.

101000121200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067649.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000121200110 its reverse (11002121000101), we get a palindrome (112002242200211).

The spelling of 101000121200110 in words is "one hundred one trillion, one hundred twenty-one million, two hundred thousand, one hundred ten".