101020202011120 has 80 divisors (see below), whose sum is σ = 268514617536000. Its totient is φ = 34623948241152.

The previous prime is 101020202011061. The next prime is 101020202011123. The reversal of 101020202011120 is 21110202020101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 101020202011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020202011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28396122 + ... + 31755001.

It is an arithmetic number, because the mean of its divisors is an integer number (3356432719200).

Almost surely, 2^{101020202011120} is an apocalyptic number.

101020202011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020202011120 is an abundant number, since it is smaller than the sum of its proper divisors (167494415524880).

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

101020202011120 is a wasteful number, since it uses less digits than its factorization.

101020202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60154142 (or 60154136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020202011120 its reverse (21110202020101), we get a palindrome (122130404031221).

The spelling of 101020202011120 in words is "one hundred one trillion, twenty billion, two hundred two million, eleven thousand, one hundred twenty".