10211200022100 has 288 divisors, whose sum is σ = 38022798385152. Its totient is φ = 2053362240000.

The previous prime is 10211200022083. The next prime is 10211200022117. The reversal of 10211200022100 is 122000211201.

It is an interprime number because it is at equal distance from previous prime (10211200022083) and next prime (10211200022117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6413631 + ... + 7845830.

It is an arithmetic number, because the mean of its divisors is an integer number (132023605504).

Almost surely, 2^{10211200022100} is an apocalyptic number.

10211200022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200022100 is an abundant number, since it is smaller than the sum of its proper divisors (27811598363052).

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

10211200022100 is a wasteful number, since it uses less digits than its factorization.

10211200022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259527 (or 14259520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211200022100 its reverse (122000211201), we get a palindrome (10333200233301).

The spelling of 10211200022100 in words is "ten trillion, two hundred eleven billion, two hundred million, twenty-two thousand, one hundred".