10102001220 has 72 divisors (see below), whose sum is σ = 31470939864. Its totient is φ = 2621058048.

The previous prime is 10102001191. The next prime is 10102001227. The reversal of 10102001220 is 2210020101.

It can be written as a sum of positive squares in 4 ways, for example, as 592240896 + 9509760324 = 24336^2 + 97518^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10102001227) 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, 751749 + ... + 765068.

It is an arithmetic number, because the mean of its divisors is an integer number (437096387).

Almost surely, 2^10102001220 is an apocalyptic number.

10102001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001220 is an abundant number, since it is smaller than the sum of its proper divisors (21368938644).

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

10102001220 is a wasteful number, since it uses less digits than its factorization.

10102001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516869 (or 1516864 counting only the distinct ones).

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

Adding to 10102001220 its reverse (2210020101), we get a palindrome (12312021321).

The spelling of 10102001220 in words is "ten billion, one hundred two million, one thousand, two hundred twenty".