102121101100219 has 64 divisors (see below), whose sum is σ = 108708834697216. Its totient is φ = 95796898560000.

The previous prime is 102121101100189. The next prime is 102121101100267. The reversal of 102121101100219 is 912001101121201.

It is a happy number.

It is not a de Polignac number, because 102121101100219 - 2⁹ = 102121101099707 is a prime.

It is a super-2 number, since 2×102121101100219² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102121101100219.

It is not an unprimeable number, because it can be changed into a prime (102121101100519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47256408499 + ... + 47256410659.

It is an arithmetic number, because the mean of its divisors is an integer number (1698575542144).

Almost surely, 2^{102121101100219} is an apocalyptic number.

102121101100219 is a deficient number, since it is larger than the sum of its proper divisors (6587733596997).

102121101100219 is a wasteful number, since it uses less digits than its factorization.

102121101100219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 102121101100219 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, one hundred thousand, two hundred nineteen".