101022020120 has 128 divisors (see below), whose sum is σ = 265807872000. Its totient is φ = 34540023168.

The previous prime is 101022020117. The next prime is 101022020123. The reversal of 101022020120 is 21020220101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101022020117) and next prime (101022020123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5025209 + ... + 5045271.

It is an arithmetic number, because the mean of its divisors is an integer number (2076624000).

Almost surely, 2^101022020120 is an apocalyptic number.

101022020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132903936000).

101022020120 is an abundant number, since it is smaller than the sum of its proper divisors (164785851880).

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

101022020120 is a wasteful number, since it uses less digits than its factorization.

101022020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20462 (or 20444 counting only the distinct ones).

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

Adding to 101022020120 its reverse (21020220101), we get a palindrome (122042240221).

The spelling of 101022020120 in words is "one hundred one billion, twenty-two million, twenty thousand, one hundred twenty".