102121202122101 has 8 divisors (see below), whose sum is σ = 151290669810560. Its totient is φ = 68080801414716.

The previous prime is 102121202122061. The next prime is 102121202122139. The reversal of 102121202122101 is 101221202121201.

102121202122101 is a `hidden beast` number, since 10 + 21 + 212 + 0 + 212 + 210 + 1 = 666.

It is not a de Polignac number, because 102121202122101 - 2³⁷ = 101983763168629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121202122141) 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, 1891133372605 + ... + 1891133372658.

It is an arithmetic number, because the mean of its divisors is an integer number (18911333726320).

Almost surely, 2^{102121202122101} is an apocalyptic number.

It is an amenable number.

102121202122101 is a deficient number, since it is larger than the sum of its proper divisors (49169467688459).

102121202122101 is an equidigital number, since it uses as much as digits as its factorization.

102121202122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782266745272 (or 3782266745266 counting only the distinct ones).

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

Adding to 102121202122101 its reverse (101221202121201), we get a palindrome (203342404243302).

The spelling of 102121202122101 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred one".