10210220012100 has 72 divisors (see below), whose sum is σ = 29574875711808. Its totient is φ = 2719655676800.

The previous prime is 10210220012093. The next prime is 10210220012107. The reversal of 10210220012100 is 121002201201.

It is an interprime number because it is at equal distance from previous prime (10210220012093) and next prime (10210220012107).

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

It is not an unprimeable number, because it can be changed into a prime (10210220012107) 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, 18918831 + ... + 19451030.

It is an arithmetic number, because the mean of its divisors is an integer number (410762162664).

Almost surely, 2^{10210220012100} is an apocalyptic number.

10210220012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210220012100 is an abundant number, since it is smaller than the sum of its proper divisors (19364655699708).

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

10210220012100 is a wasteful number, since it uses less digits than its factorization.

10210220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38370765 (or 38370758 counting only the distinct ones).

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

Adding to 10210220012100 its reverse (121002201201), we get a palindrome (10331222213301).

The spelling of 10210220012100 in words is "ten trillion, two hundred ten billion, two hundred twenty million, twelve thousand, one hundred".