102101222211021 has 24 divisors (see below), whose sum is σ = 160899960495456. Its totient is φ = 61874457035040.

The previous prime is 102101222211017. The next prime is 102101222211083. The reversal of 102101222211021 is 120112222101201.

102101222211021 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 222 + 211 + 0 + 21 = 666.

It is not a de Polignac number, because 102101222211021 - 2² = 102101222211017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102101222210985 and 102101222211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101222261021) 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, 41048950 + ... + 43465143.

It is an arithmetic number, because the mean of its divisors is an integer number (6704165020644).

Almost surely, 2^{102101222211021} is an apocalyptic number.

102101222211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101222211021 is a deficient number, since it is larger than the sum of its proper divisors (58798738284435).

102101222211021 is a wasteful number, since it uses less digits than its factorization.

102101222211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84526313 (or 84526310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102101222211021 its reverse (120112222101201), we get a palindrome (222213444312222).

The spelling of 102101222211021 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, two hundred eleven thousand, twenty-one".