101102002010220 has 96 divisors (see below), whose sum is σ = 290415385725696. Its totient is φ = 26270720812800.

The previous prime is 101102002010123. The next prime is 101102002010227. The reversal of 101102002010220 is 22010200201101.

It is a super-2 number, since 2×101102002010220² (a number of 29 digits) contains 22 as substring.

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 = 101102002010196 and 101102002010205.

It is not an unprimeable number, because it can be changed into a prime (101102002010227) 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, 128690146 + ... + 129473385.

It is an arithmetic number, because the mean of its divisors is an integer number (3025160267976).

Almost surely, 2^{101102002010220} is an apocalyptic number.

101102002010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102002010220 is an abundant number, since it is smaller than the sum of its proper divisors (189313383715476).

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

101102002010220 is a wasteful number, since it uses less digits than its factorization.

101102002010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258163711 (or 258163709 counting only the distinct ones).

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

Adding to 101102002010220 its reverse (22010200201101), we get a palindrome (123112202211321).

The spelling of 101102002010220 in words is "one hundred one trillion, one hundred two billion, two million, ten thousand, two hundred twenty".