101002001022100 has 144 divisors (see below), whose sum is σ = 227353372202880. Its totient is φ = 38921940288000.

The previous prime is 101002001022077. The next prime is 101002001022119. The reversal of 101002001022100 is 1220100200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113778766 + ... + 114663034.

It is an arithmetic number, because the mean of its divisors is an integer number (1578842862520).

Almost surely, 2^{101002001022100} is an apocalyptic number.

101002001022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002001022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113676686101440).

101002001022100 is an abundant number, since it is smaller than the sum of its proper divisors (126351371180780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002001022100 is a wasteful number, since it uses less digits than its factorization.

101002001022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884690 (or 884683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002001022100 its reverse (1220100200101), we get a palindrome (102222101222201).

The spelling of 101002001022100 in words is "one hundred one trillion, two billion, one million, twenty-two thousand, one hundred".