101122002100020 has 144 divisors (see below), whose sum is σ = 311227369306560. Its totient is φ = 24513983324160.

The previous prime is 101122002099973. The next prime is 101122002100027. The reversal of 101122002100020 is 20001200221101.

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 = 101122002099969 and 101122002100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122002100027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602517876 + ... + 602685684.

It is an arithmetic number, because the mean of its divisors is an integer number (2161301175740).

Almost surely, 2^{101122002100020} is an apocalyptic number.

101122002100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122002100020 is an abundant number, since it is smaller than the sum of its proper divisors (210105367206540).

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

101122002100020 is a wasteful number, since it uses less digits than its factorization.

101122002100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250846 (or 250833 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101122002100020 its reverse (20001200221101), we get a palindrome (121123202321121).

The spelling of 101122002100020 in words is "one hundred one trillion, one hundred twenty-two billion, two million, one hundred thousand, twenty".