101112020000 has 60 divisors (see below), whose sum is σ = 248750785206. Its totient is φ = 40444800000.

The previous prime is 101112019993. The next prime is 101112020017. The reversal of 101112020000 is 20211101.

It can be written as a sum of positive squares in 5 ways, for example, as 12348543376 + 88763476624 = 111124^2 + 297932^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101112020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2507801 + ... + 2547800.

Almost surely, 2^101112020000 is an apocalyptic number.

101112020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112020000 is an abundant number, since it is smaller than the sum of its proper divisors (147638765206).

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

101112020000 is an frugal number, since it uses more digits than its factorization.

101112020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055631 (or 5055608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101112020000 its reverse (20211101), we get a palindrome (101132231101).

The spelling of 101112020000 in words is "one hundred one billion, one hundred twelve million, twenty thousand".