10202120100 has 180 divisors, whose sum is σ = 33132973104. Its totient is φ = 2715491520.

The previous prime is 10202120099. The next prime is 10202120141. The reversal of 10202120100 is 102120201.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6697939 + ... + 6699461.

Almost surely, 2^10202120100 is an apocalyptic number.

10202120100 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 10202120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566486552).

10202120100 is an abundant number, since it is smaller than the sum of its proper divisors (22930853004).

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

10202120100 is a wasteful number, since it uses less digits than its factorization.

10202120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2360 counting only the distinct ones).

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

Adding to 10202120100 its reverse (102120201), we get a palindrome (10304240301).

The spelling of 10202120100 in words is "ten billion, two hundred two million, one hundred twenty thousand, one hundred".