101100122011020 has 192 divisors, whose sum is σ = 332636547317760. Its totient is φ = 22687264300800.

The previous prime is 101100122010991. The next prime is 101100122011093. The reversal of 101100122011020 is 20110221001101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100122010987 and 101100122011005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106950180 + ... + 107891339.

It is an arithmetic number, because the mean of its divisors is an integer number (1732482017280).

Almost surely, 2^{101100122011020} is an apocalyptic number.

101100122011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100122011020 is an abundant number, since it is smaller than the sum of its proper divisors (231536425306740).

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

101100122011020 is a wasteful number, since it uses less digits than its factorization.

101100122011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214841596 (or 214841594 counting only the distinct ones).

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

Adding to 101100122011020 its reverse (20110221001101), we get a palindrome (121210343012121).

The spelling of 101100122011020 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, eleven thousand, twenty".