101120020000 has 120 divisors (see below), whose sum is σ = 251570018700. Its totient is φ = 39992832000.

The previous prime is 101120019997. The next prime is 101120020013. The reversal of 101120020000 is 20021101.

It can be written as a sum of positive squares in 10 ways, for example, as 54220053904 + 46899966096 = 232852^2 + 216564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1751596 + ... + 1808404.

Almost surely, 2^101120020000 is an apocalyptic number.

101120020000 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 101120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125785009350).

101120020000 is an abundant number, since it is smaller than the sum of its proper divisors (150449998700).

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

101120020000 is an frugal number, since it uses more digits than its factorization.

101120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56928 (or 56905 counting only the distinct ones).

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

Adding to 101120020000 its reverse (20021101), we get a palindrome (101140041101).

The spelling of 101120020000 in words is "one hundred one billion, one hundred twenty million, twenty thousand".