101020012202120 has 64 divisors (see below), whose sum is σ = 261008643988800. Its totient is φ = 34801152526080.

The previous prime is 101020012202111. The next prime is 101020012202159. The reversal of 101020012202120 is 21202210020101.

It is a junction number, because it is equal to n+sod(n) for n = 101020012202095 and 101020012202104.

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, 6041858399 + ... + 6041875118.

It is an arithmetic number, because the mean of its divisors is an integer number (4078260062325).

Almost surely, 2^{101020012202120} is an apocalyptic number.

101020012202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020012202120 is an abundant number, since it is smaller than the sum of its proper divisors (159988631786680).

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

101020012202120 is a wasteful number, since it uses less digits than its factorization.

101020012202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083733558 (or 12083733554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020012202120 its reverse (21202210020101), we get a palindrome (122222222222221).

The spelling of 101020012202120 in words is "one hundred one trillion, twenty billion, twelve million, two hundred two thousand, one hundred twenty".