101001022120 has 64 divisors (see below), whose sum is σ = 229602522240. Its totient is φ = 39982944000.

The previous prime is 101001022063. The next prime is 101001022127. The reversal of 101001022120 is 21220100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101001022097 and 101001022106.

It is not an unprimeable number, because it can be changed into a prime (101001022127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13211019 + ... + 13218661.

It is an arithmetic number, because the mean of its divisors is an integer number (3587539410).

Almost surely, 2^101001022120 is an apocalyptic number.

101001022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001022120 is an abundant number, since it is smaller than the sum of its proper divisors (128601500120).

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

101001022120 is a wasteful number, since it uses less digits than its factorization.

101001022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001022120 its reverse (21220100101), we get a palindrome (122221122221).

The spelling of 101001022120 in words is "one hundred one billion, one million, twenty-two thousand, one hundred twenty".