102121021201001 has 16 divisors (see below), whose sum is σ = 112230312231168. Its totient is φ = 92151063312000.

The previous prime is 102121021200931. The next prime is 102121021201049. The reversal of 102121021201001 is 100102120121201.

It is not a de Polignac number, because 102121021201001 - 2³⁰ = 102119947459177 is a prime.

It is a super-2 number, since 2×102121021201001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102121021201061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42313025 + ... + 44661326.

It is an arithmetic number, because the mean of its divisors is an integer number (7014394514448).

Almost surely, 2^{102121021201001} is an apocalyptic number.

102121021201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102121021201001 is a deficient number, since it is larger than the sum of its proper divisors (10109291030167).

102121021201001 is a wasteful number, since it uses less digits than its factorization.

102121021201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86975152.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121021201001 its reverse (100102120121201), we get a palindrome (202223141322202).

The spelling of 102121021201001 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-one million, two hundred one thousand, one".