101021112121001 has 24 divisors (see below), whose sum is σ = 103799047552200. Its totient is φ = 98307402156800.

The previous prime is 101021112120997. The next prime is 101021112121049. The reversal of 101021112121001 is 100121211120101.

It can be written as a sum of positive squares in 4 ways, for example, as 60689708929600 + 40331403191401 = 7790360^2 + 6350701^2 .

It is not a de Polignac number, because 101021112121001 - 2² = 101021112120997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021112121081) 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, 2140753115 + ... + 2140800303.

It is an arithmetic number, because the mean of its divisors is an integer number (4324960314675).

Almost surely, 2^{101021112121001} is an apocalyptic number.

It is an amenable number.

101021112121001 is a deficient number, since it is larger than the sum of its proper divisors (2777935431199).

101021112121001 is an equidigital number, since it uses as much as digits as its factorization.

101021112121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53497 (or 53438 counting only the distinct ones).

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

Adding to 101021112121001 its reverse (100121211120101), we get a palindrome (201142323241102).

The spelling of 101021112121001 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, one".