101201001020200 has 48 divisors (see below), whose sum is σ = 235293284133180. Its totient is φ = 40480235804160.

The previous prime is 101201001020183. The next prime is 101201001020201. The reversal of 101201001020200 is 2020100102101.

It can be written as a sum of positive squares in 6 ways, for example, as 2644116653476 + 98556884366724 = 1626074^2 + 9927582^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101201001020201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56225404 + ... + 57997396.

Almost surely, 2^{101201001020200} is an apocalyptic number.

101201001020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201001020200 is an abundant number, since it is smaller than the sum of its proper divisors (134092283112980).

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

101201001020200 is a wasteful number, since it uses less digits than its factorization.

101201001020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057566 (or 2057557 counting only the distinct ones).

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

Adding to 101201001020200 its reverse (2020100102101), we get a palindrome (103221101122301).

The spelling of 101201001020200 in words is "one hundred one trillion, two hundred one billion, one million, twenty thousand, two hundred".