101211012021101 has 32 divisors (see below), whose sum is σ = 106762264773120. Its totient is φ = 95845028557824.

The previous prime is 101211012021079. The next prime is 101211012021109. The reversal of 101211012021101 is 101120210112101.

It is a cyclic number.

It is not a de Polignac number, because 101211012021101 - 2³⁸ = 100936134114157 is a prime.

It is a super-2 number, since 2×101211012021101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211012021109) 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, 1042579301 + ... + 1042676373.

It is an arithmetic number, because the mean of its divisors is an integer number (3336320774160).

Almost surely, 2^{101211012021101} is an apocalyptic number.

It is an amenable number.

101211012021101 is a deficient number, since it is larger than the sum of its proper divisors (5551252752019).

101211012021101 is a wasteful number, since it uses less digits than its factorization.

101211012021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102005.

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

Adding to 101211012021101 its reverse (101120210112101), we get a palindrome (202331222133202).

The spelling of 101211012021101 in words is "one hundred one trillion, two hundred eleven billion, twelve million, twenty-one thousand, one hundred one".