102200111111121 has 8 divisors (see below), whose sum is σ = 136329872118624. Its totient is φ = 68101878755520.

The previous prime is 102200111111107. The next prime is 102200111111141. The reversal of 102200111111121 is 121111111002201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102200111111121 - 2¹⁵ = 102200111078353 is a prime.

It is a super-2 number, since 2×102200111111121² (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 102200111111121.

It is not an unprimeable number, because it can be changed into a prime (102200111111141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7882155411 + ... + 7882168376.

It is an arithmetic number, because the mean of its divisors is an integer number (17041234014828).

Almost surely, 2^{102200111111121} is an apocalyptic number.

It is an amenable number.

102200111111121 is a deficient number, since it is larger than the sum of its proper divisors (34129761007503).

102200111111121 is a wasteful number, since it uses less digits than its factorization.

102200111111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15764325951.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102200111111121 its reverse (121111111002201), we get a palindrome (223311222113322).

The spelling of 102200111111121 in words is "one hundred two trillion, two hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".