101211111020001 has 64 divisors (see below), whose sum is σ = 142062047891456. Its totient is φ = 64013664960000.

The previous prime is 101211111019951. The next prime is 101211111020017. The reversal of 101211111020001 is 100020111112101.

It is not a de Polignac number, because 101211111020001 - 2¹⁴ = 101211111003617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211111020081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15402692046 + ... + 15402698616.

It is an arithmetic number, because the mean of its divisors is an integer number (2219719498304).

Almost surely, 2^{101211111020001} is an apocalyptic number.

It is an amenable number.

101211111020001 is a deficient number, since it is larger than the sum of its proper divisors (40850936871455).

101211111020001 is a wasteful number, since it uses less digits than its factorization.

101211111020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211111020001 its reverse (100020111112101), we get a palindrome (201231222132102).

The spelling of 101211111020001 in words is "one hundred one trillion, two hundred eleven billion, one hundred eleven million, twenty thousand, one".