101001100010020 has 144 divisors (see below), whose sum is σ = 262974967016832. Its totient is φ = 32376110054400.

The previous prime is 101001100010017. The next prime is 101001100010021. The reversal of 101001100010020 is 20010001100101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101001100009985 and 101001100010012.

It is not an unprimeable number, because it can be changed into a prime (101001100010021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17558814 + ... + 22590133.

It is an arithmetic number, because the mean of its divisors is an integer number (1826215048728).

Almost surely, 2^{101001100010020} is an apocalyptic number.

101001100010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001100010020 is an abundant number, since it is smaller than the sum of its proper divisors (161973867006812).

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

101001100010020 is a wasteful number, since it uses less digits than its factorization.

101001100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40149138 (or 40149129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101001100010020 its reverse (20010001100101), we get a palindrome (121011101110121).

The spelling of 101001100010020 in words is "one hundred one trillion, one billion, one hundred million, ten thousand, twenty".