10211120100 has 54 divisors (see below), whose sum is σ = 32006191490. Its totient is φ = 2722965120.

The previous prime is 10211120077. The next prime is 10211120137. The reversal of 10211120100 is 102111201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1530843876 + 8680276224 = 39126^2 + 93168^2 .

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 17 ways as a sum of consecutive naturals, for example, 5671945 + ... + 5673744.

Almost surely, 2^10211120100 is an apocalyptic number.

10211120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211120100 is an abundant number, since it is smaller than the sum of its proper divisors (21795071390).

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

10211120100 is a wasteful number, since it uses less digits than its factorization.

10211120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345709 (or 11345699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10211120100 its reverse (102111201), we get a palindrome (10313231301).

10211120100 divided by its reverse (102111201) gives a square (100 = 10²).

The spelling of 10211120100 in words is "ten billion, two hundred eleven million, one hundred twenty thousand, one hundred".