101122020 has 72 divisors (see below), whose sum is σ = 318112704. Its totient is φ = 26964576.

The previous prime is 101122019. The next prime is 101122027. The reversal of 101122020 is 20221101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101121993 and 101122011.

It is not an unprimeable number, because it can be changed into a prime (101122027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544 + ... + 15263.

It is an arithmetic number, because the mean of its divisors is an integer number (4418232).

Almost surely, 2^101122020 is an apocalyptic number.

101122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122020 is an abundant number, since it is smaller than the sum of its proper divisors (216990684).

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

101122020 is a wasteful number, since it uses less digits than its factorization.

101122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20831 (or 20817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101122020 is about 10055.9445105868. The cubic root of 101122020 is about 465.8884160003. Note that the first 3 decimals are identical.

Adding to 101122020 its reverse (20221101), we get a palindrome (121343121).

The spelling of 101122020 in words is "one hundred one million, one hundred twenty-two thousand, twenty".