101221111121001 has 32 divisors (see below), whose sum is σ = 139255552229760. Its totient is φ = 65351331961344.

The previous prime is 101221111120999. The next prime is 101221111121173. The reversal of 101221111121001 is 100121111122101.

It is not a de Polignac number, because 101221111121001 - 2¹ = 101221111120999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221111128001) 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, 21596655 + ... + 25862283.

It is an arithmetic number, because the mean of its divisors is an integer number (4351736007180).

Almost surely, 2^{101221111121001} is an apocalyptic number.

It is an amenable number.

101221111121001 is a deficient number, since it is larger than the sum of its proper divisors (38034441108759).

101221111121001 is a wasteful number, since it uses less digits than its factorization.

101221111121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266665.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101221111121001 its reverse (100121111122101), we get a palindrome (201342222243102).

The spelling of 101221111121001 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one".