102112210121001 has 32 divisors (see below), whose sum is σ = 146246635244160. Its totient is φ = 63148643303424.

The previous prime is 102112210120997. The next prime is 102112210121021. The reversal of 102112210121001 is 100121012211201.

It is a happy number.

102112210121001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102112210121001 - 2² = 102112210120997 is a prime.

It is a super-2 number, since 2×102112210121001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112210121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48461680 + ... + 50524833.

It is an arithmetic number, because the mean of its divisors is an integer number (4570207351380).

Almost surely, 2^{102112210121001} is an apocalyptic number.

It is an amenable number.

102112210121001 is a deficient number, since it is larger than the sum of its proper divisors (44134425123159).

102112210121001 is a wasteful number, since it uses less digits than its factorization.

102112210121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98986825.

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

Adding to 102112210121001 its reverse (100121012211201), we get a palindrome (202233222332202).

The spelling of 102112210121001 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, one hundred twenty-one thousand, one".