101020111202120 has 64 divisors (see below), whose sum is σ = 248139845020800. Its totient is φ = 36707713262080.

The previous prime is 101020111202119. The next prime is 101020111202147. The reversal of 101020111202120 is 21202111020101.

It is a super-2 number, since 2×101020111202120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020111202095 and 101020111202104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83374805 + ... + 84577764.

It is an arithmetic number, because the mean of its divisors is an integer number (3877185078450).

Almost surely, 2^{101020111202120} is an apocalyptic number.

101020111202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020111202120 is an abundant number, since it is smaller than the sum of its proper divisors (147119733818680).

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

101020111202120 is a wasteful number, since it uses less digits than its factorization.

101020111202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167953958 (or 167953954 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101020111202120 its reverse (21202111020101), we get a palindrome (122222222222221).

The spelling of 101020111202120 in words is "one hundred one trillion, twenty billion, one hundred eleven million, two hundred two thousand, one hundred twenty".