101010021102101 has 8 divisors (see below), whose sum is σ = 102051630835224. Its totient is φ = 99968416865280.

The previous prime is 101010021102059. The next prime is 101010021102131. The reversal of 101010021102101 is 101201120010101.

It can be written as a sum of positive squares in 4 ways, for example, as 2318313805201 + 98691707296900 = 1522601^2 + 9934370^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010021102101 is a prime.

It is a super-2 number, since 2×101010021102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010021102131) 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, 42882491 + ... + 45176631.

It is an arithmetic number, because the mean of its divisors is an integer number (12756453854403).

Almost surely, 2^{101010021102101} is an apocalyptic number.

It is an amenable number.

101010021102101 is a deficient number, since it is larger than the sum of its proper divisors (1041609733123).

101010021102101 is an equidigital number, since it uses as much as digits as its factorization.

101010021102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748151.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101010021102101 its reverse (101201120010101), we get a palindrome (202211141112202).

The spelling of 101010021102101 in words is "one hundred one trillion, ten billion, twenty-one million, one hundred two thousand, one hundred one".