10220010212100 has 144 divisors (see below), whose sum is σ = 33717709928448. Its totient is φ = 2367712757760.

The previous prime is 10220010211993. The next prime is 10220010212207. The reversal of 10220010212100 is 121201002201.

It is an interprime number because it is at equal distance from previous prime (10220010211993) and next prime (10220010212207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77007684 + ... + 77140283.

It is an arithmetic number, because the mean of its divisors is an integer number (234150763392).

Almost surely, 2^{10220010212100} is an apocalyptic number.

10220010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220010212100 is an abundant number, since it is smaller than the sum of its proper divisors (23497699716348).

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

10220010212100 is a wasteful number, since it uses less digits than its factorization.

10220010212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154148014 (or 154148007 counting only the distinct ones).

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

Adding to 10220010212100 its reverse (121201002201), we get a palindrome (10341211214301).

The spelling of 10220010212100 in words is "ten trillion, two hundred twenty billion, ten million, two hundred twelve thousand, one hundred".