10122021221100 has 144 divisors (see below), whose sum is σ = 29839051845120. Its totient is φ = 2648687558400.

The previous prime is 10122021220931. The next prime is 10122021221159. The reversal of 10122021221100 is 112212022101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122021221100.

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, 2553010 + ... + 5173190.

Almost surely, 2^{10122021221100} is an apocalyptic number.

10122021221100 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 10122021221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919525922560).

10122021221100 is an abundant number, since it is smaller than the sum of its proper divisors (19717030624020).

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

10122021221100 is a wasteful number, since it uses less digits than its factorization.

10122021221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620440 (or 2620433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122021221100 its reverse (112212022101), we get a palindrome (10234233243201).

The spelling of 10122021221100 in words is "ten trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty-one thousand, one hundred".