100201211012 has 96 divisors (see below), whose sum is σ = 213800186880. Its totient is φ = 40136688000.

The previous prime is 100201211009. The next prime is 100201211027. The reversal of 100201211012 is 210112102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201210984 and 100201211002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14284418 + ... + 14291430.

It is an arithmetic number, because the mean of its divisors is an integer number (2227085280).

Almost surely, 2^100201211012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106900093440).

100201211012 is an abundant number, since it is smaller than the sum of its proper divisors (113598975868).

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

100201211012 is a wasteful number, since it uses less digits than its factorization.

100201211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201211012 its reverse (210112102001), we get a palindrome (310313313013).

The spelling of 100201211012 in words is "one hundred billion, two hundred one million, two hundred eleven thousand, twelve".