10201111202100 has 864 divisors, whose sum is σ = 37542388800000. Its totient is φ = 2119451443200.

The previous prime is 10201111202053. The next prime is 10201111202101. The reversal of 10201111202100 is 120211110201.

It is a super-2 number, since 2×10201111202100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201111202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8167422276 + ... + 8167423524.

Almost surely, 2^{10201111202100} is an apocalyptic number.

10201111202100 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 10201111202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771194400000).

10201111202100 is an abundant number, since it is smaller than the sum of its proper divisors (27341277597900).

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

10201111202100 is a wasteful number, since it uses less digits than its factorization.

10201111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201111202100 its reverse (120211110201), we get a palindrome (10321322312301).

The spelling of 10201111202100 in words is "ten trillion, two hundred one billion, one hundred eleven million, two hundred two thousand, one hundred".