102102211102101 has 64 divisors (see below), whose sum is σ = 161425735680000. Its totient is φ = 56172923928000.

The previous prime is 102102211102043. The next prime is 102102211102169. The reversal of 102102211102101 is 101201112201201.

It is a happy number.

It is not a de Polignac number, because 102102211102101 - 2¹⁷ = 102102210971029 is a prime.

It is a super-2 number, since 2×102102211102101² (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 (102102211102601) 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, 1612982950 + ... + 1613046248.

It is an arithmetic number, because the mean of its divisors is an integer number (2522277120000).

Almost surely, 2^{102102211102101} is an apocalyptic number.

It is an amenable number.

102102211102101 is a deficient number, since it is larger than the sum of its proper divisors (59323524577899).

102102211102101 is a wasteful number, since it uses less digits than its factorization.

102102211102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75990.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102102211102101 its reverse (101201112201201), we get a palindrome (203303323303302).

The spelling of 102102211102101 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, one hundred two thousand, one hundred one".