10200111022101 has 384 divisors, whose sum is σ = 19455093116928. Its totient is φ = 4586869555200.

The previous prime is 10200111022097. The next prime is 10200111022111. The reversal of 10200111022101 is 10122011100201.

It is not a de Polignac number, because 10200111022101 - 2² = 10200111022097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200111022111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18117426046 + ... + 18117426608.

It is an arithmetic number, because the mean of its divisors is an integer number (50664304992).

Almost surely, 2^{10200111022101} is an apocalyptic number.

10200111022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200111022101 is a deficient number, since it is larger than the sum of its proper divisors (9254982094827).

10200111022101 is a wasteful number, since it uses less digits than its factorization.

10200111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 772 counting only the distinct ones).

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

Adding to 10200111022101 its reverse (10122011100201), we get a palindrome (20322122122302).

The spelling of 10200111022101 in words is "ten trillion, two hundred billion, one hundred eleven million, twenty-two thousand, one hundred one".