101120022010000 has 200 divisors, whose sum is σ = 285749331943680. Its totient is φ = 33932067072000.

The previous prime is 101120022009983. The next prime is 101120022010067. The reversal of 101120022010000 is 10220021101.

101120022010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12077785 + ... + 18657784.

Almost surely, 2^{101120022010000} is an apocalyptic number.

101120022010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120022010000 is an abundant number, since it is smaller than the sum of its proper divisors (184629309933680).

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

101120022010000 is an equidigital number, since it uses as much as digits as its factorization.

101120022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30735651 (or 30735630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101120022010000 its reverse (10220021101), we get a palindrome (101130242031101).

The spelling of 101120022010000 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, ten thousand".