101001020100101 has 24 divisors (see below), whose sum is σ = 112129290918624. Its totient is φ = 90899909100000.

The previous prime is 101001020100067. The next prime is 101001020100151.

It is a happy number.

101001020100101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-101001020100101 is a prime.

It is a super-2 number, since 2×101001020100101² (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 (101001020100151) 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, 110646566 + ... + 111555656.

It is an arithmetic number, because the mean of its divisors is an integer number (4672053788276).

Almost surely, 2^{101001020100101} is an apocalyptic number.

101001020100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001020100101 is a deficient number, since it is larger than the sum of its proper divisors (11128270818523).

101001020100101 is a wasteful number, since it uses less digits than its factorization.

101001020100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918305 (or 918294 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

It can be divided in two parts, 10100 and 1020100101, that added together give a palindrome (1020110201).

The spelling of 101001020100101 in words is "one hundred one trillion, one billion, twenty million, one hundred thousand, one hundred one".