10202121111100 has 72 divisors (see below), whose sum is σ = 22369489507568. Its totient is φ = 4038298675200.

The previous prime is 10202121111089. The next prime is 10202121111107. The reversal of 10202121111100 is 111112120201.

It is a happy number.

10202121111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121111107) 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, 88124854 + ... + 88240546.

Almost surely, 2^{10202121111100} is an apocalyptic number.

10202121111100 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 10202121111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184744753784).

10202121111100 is an abundant number, since it is smaller than the sum of its proper divisors (12167368396468).

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

10202121111100 is a wasteful number, since it uses less digits than its factorization.

10202121111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124895 (or 124888 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10202121111100 its reverse (111112120201), we get a palindrome (10313233231301).

It can be divided in two parts, 1020212 and 1111100, that added together give a palindrome (2131312).

The spelling of 10202121111100 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".