101011020001021 has 8 divisors (see below), whose sum is σ = 109858139042904. Its totient is φ = 92317763899200.

The previous prime is 101011020001013. The next prime is 101011020001027. The reversal of 101011020001021 is 120100020110101.

It can be written as a sum of positive squares in 4 ways, for example, as 7871419416025 + 93139600584996 = 2805605^2 + 9650886^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101011020001021 - 2³ = 101011020001013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011020000989 and 101011020001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011020001027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38465733646 + ... + 38465736271.

It is an arithmetic number, because the mean of its divisors is an integer number (13732267380363).

Almost surely, 2^{101011020001021} is an apocalyptic number.

It is an amenable number.

101011020001021 is a deficient number, since it is larger than the sum of its proper divisors (8847119041883).

101011020001021 is a wasteful number, since it uses less digits than its factorization.

101011020001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76931470031.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011020001021 its reverse (120100020110101), we get a palindrome (221111040111122).

The spelling of 101011020001021 in words is "one hundred one trillion, eleven billion, twenty million, one thousand, twenty-one".