101120100221100 has 144 divisors (see below), whose sum is σ = 302342351351040. Its totient is φ = 26077483488000.

The previous prime is 101120100221089. The next prime is 101120100221123. The reversal of 101120100221100 is 1122001021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37502880 + ... + 40108679.

It is an arithmetic number, because the mean of its divisors is an integer number (2099599662160).

Almost surely, 2^{101120100221100} is an apocalyptic number.

101120100221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120100221100 is an abundant number, since it is smaller than the sum of its proper divisors (201222251129940).

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

101120100221100 is a wasteful number, since it uses less digits than its factorization.

101120100221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77611720 (or 77611713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120100221100 its reverse (1122001021101), we get a palindrome (102242101242201).

The spelling of 101120100221100 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, two hundred twenty-one thousand, one hundred".