10202220121100 has 216 divisors, whose sum is σ = 26395984298880. Its totient is φ = 3410709120000.

The previous prime is 10202220121073. The next prime is 10202220121127. The reversal of 10202220121100 is 112102220201.

It is an interprime number because it is at equal distance from previous prime (10202220121073) and next prime (10202220121127).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391942886 + ... + 391968914.

Almost surely, 2^{10202220121100} is an apocalyptic number.

10202220121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202220121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197992149440).

10202220121100 is an abundant number, since it is smaller than the sum of its proper divisors (16193764177780).

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

10202220121100 is a wasteful number, since it uses less digits than its factorization.

10202220121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28049 (or 28035 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202220121100 its reverse (112102220201), we get a palindrome (10314322341301).

The spelling of 10202220121100 in words is "ten trillion, two hundred two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred".