102101221210001 has 24 divisors (see below), whose sum is σ = 111695043272760. Its totient is φ = 93281468507136.

The previous prime is 102101221209971. The next prime is 102101221210081. The reversal of 102101221210001 is 100012122101201.

It can be written as a sum of positive squares in 12 ways, for example, as 101589788838976 + 511432371025 = 10079176^2 + 715145^2 .

It is not a de Polignac number, because 102101221210001 - 2¹⁸ = 102101220947857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101221210081) 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, 9769355 + ... + 17310191.

It is an arithmetic number, because the mean of its divisors is an integer number (4653960136365).

Almost surely, 2^{102101221210001} is an apocalyptic number.

It is an amenable number.

102101221210001 is a deficient number, since it is larger than the sum of its proper divisors (9593822062759).

102101221210001 is a wasteful number, since it uses less digits than its factorization.

102101221210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541685 (or 7541672 counting only the distinct ones).

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

Adding to 102101221210001 its reverse (100012122101201), we get a palindrome (202113343311202).

The spelling of 102101221210001 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred ten thousand, one".