101122002020 has 48 divisors (see below), whose sum is σ = 242143736688. Its totient is φ = 35141038080.

The previous prime is 101122002019. The next prime is 101122002031. The reversal of 101122002020 is 20200221101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3498249316 + 97623752704 = 59146^2 + 312448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101122001992 and 101122002010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11434721 + ... + 11443560.

It is an arithmetic number, because the mean of its divisors is an integer number (5044661181).

Almost surely, 2^101122002020 is an apocalyptic number.

101122002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122002020 is an abundant number, since it is smaller than the sum of its proper divisors (141021734668).

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

101122002020 is a wasteful number, since it uses less digits than its factorization.

101122002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22878320 (or 22878318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101122002020 its reverse (20200221101), we get a palindrome (121322223121).

The spelling of 101122002020 in words is "one hundred one billion, one hundred twenty-two million, two thousand, twenty".