101020011200 has 336 divisors, whose sum is σ = 277261807680. Its totient is φ = 36030382080.

The previous prime is 101020011119. The next prime is 101020011259. The reversal of 101020011200 is 2110020101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70692086 + ... + 70693514.

Almost surely, 2^101020011200 is an apocalyptic number.

101020011200 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 101020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138630903840).

101020011200 is an abundant number, since it is smaller than the sum of its proper divisors (176241796480).

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

101020011200 is a wasteful number, since it uses less digits than its factorization.

101020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1589 counting only the distinct ones).

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

Adding to 101020011200 its reverse (2110020101), we get a palindrome (103130031301).

The spelling of 101020011200 in words is "one hundred one billion, twenty million, eleven thousand, two hundred".