10202111122100 has 36 divisors (see below), whose sum is σ = 22141553974848. Its totient is φ = 4080296460000.

The previous prime is 10202111122081. The next prime is 10202111122111. The reversal of 10202111122100 is 122111120201.

It is a super-2 number, since 2×10202111122100² (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6101036 + ... + 7591235.

It is an arithmetic number, because the mean of its divisors is an integer number (615043165968).

Almost surely, 2^{10202111122100} is an apocalyptic number.

10202111122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202111122100 is an abundant number, since it is smaller than the sum of its proper divisors (11939442852748).

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

10202111122100 is a wasteful number, since it uses less digits than its factorization.

10202111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13699736 (or 13699729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202111122100 its reverse (122111120201), we get a palindrome (10324222242301).

The spelling of 10202111122100 in words is "ten trillion, two hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".