101000020012000 has 96 divisors (see below), whose sum is σ = 253436986857600. Its totient is φ = 39540433292800.

The previous prime is 101000020011887. The next prime is 101000020012007. The reversal of 101000020012000 is 210020000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000020012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268429075 + ... + 268805074.

It is an arithmetic number, because the mean of its divisors is an integer number (2639968613100).

Almost surely, 2^{101000020012000} is an apocalyptic number.

101000020012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000020012000 is an abundant number, since it is smaller than the sum of its proper divisors (152436966845600).

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

101000020012000 is an equidigital number, since it uses as much as digits as its factorization.

101000020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537234221 (or 537234203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101000020012000 its reverse (210020000101), we get a palindrome (101210040012101).

The spelling of 101000020012000 in words is "one hundred one trillion, twenty million, twelve thousand".