102001200121101 has 16 divisors (see below), whose sum is σ = 136546620775488. Its totient is φ = 67728302400000.

The previous prime is 102001200121049. The next prime is 102001200121133. The reversal of 102001200121101 is 101121002100201.

It is not a de Polignac number, because 102001200121101 - 2³⁵ = 101966840382733 is a prime.

It is a super-2 number, since 2×102001200121101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001200121151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31211901 + ... + 34324701.

It is an arithmetic number, because the mean of its divisors is an integer number (8534163798468).

Almost surely, 2^{102001200121101} is an apocalyptic number.

It is an amenable number.

102001200121101 is a deficient number, since it is larger than the sum of its proper divisors (34545420654387).

102001200121101 is a wasteful number, since it uses less digits than its factorization.

102001200121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156572.

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

Adding to 102001200121101 its reverse (101121002100201), we get a palindrome (203122202221302).

The spelling of 102001200121101 in words is "one hundred two trillion, one billion, two hundred million, one hundred twenty-one thousand, one hundred one".