101220111121001 has 16 divisors (see below), whose sum is σ = 105100792051200. Its totient is φ = 97379198179200.

The previous prime is 101220111120977. The next prime is 101220111121009. The reversal of 101220111121001 is 100121111022101.

It is a cyclic number.

It is not a de Polignac number, because 101220111121001 - 2³⁸ = 100945233214057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101220111121009) 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, 6139940 + ... + 15496421.

It is an arithmetic number, because the mean of its divisors is an integer number (6568799503200).

Almost surely, 2^{101220111121001} is an apocalyptic number.

It is an amenable number.

101220111121001 is a deficient number, since it is larger than the sum of its proper divisors (3880680930199).

101220111121001 is a wasteful number, since it uses less digits than its factorization.

101220111121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21637280.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101220111121001 its reverse (100121111022101), we get a palindrome (201341222143102).

The spelling of 101220111121001 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-one thousand, one".