102201110023311 has 24 divisors (see below), whose sum is σ = 158982409906320. Its totient is φ = 62891841384576.

The previous prime is 102201110023301. The next prime is 102201110023321. The reversal of 102201110023311 is 113320011102201.

102201110023311 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 110 + 0 + 2 + 331 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102201110023301) and next prime (102201110023321).

It is not a de Polignac number, because 102201110023311 - 2⁹ = 102201110022799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201110023301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530366 + ... + 14378603.

It is an arithmetic number, because the mean of its divisors is an integer number (6624267079430).

Almost surely, 2^{102201110023311} is an apocalyptic number.

102201110023311 is a deficient number, since it is larger than the sum of its proper divisors (56781299883009).

102201110023311 is a wasteful number, since it uses less digits than its factorization.

102201110023311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15963895 (or 15963892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102201110023311 its reverse (113320011102201), we get a palindrome (215521121125512).

The spelling of 102201110023311 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, twenty-three thousand, three hundred eleven".