201000100010112 has 96 divisors (see below), whose sum is σ = 622890934973580. Its totient is φ = 61846184613888.

The previous prime is 201000100010111. The next prime is 201000100010231. The reversal of 201000100010112 is 211010001000102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 167451260567616 + 33548839442496 = 12940296^2 + 5792136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000100010094 and 201000100010103.

It is not an unprimeable number, because it can be changed into a prime (201000100010111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6710725543 + ... + 6710755494.

Almost surely, 2^{201000100010112} is an apocalyptic number.

It is an amenable number.

201000100010112 is an abundant number, since it is smaller than the sum of its proper divisors (421890834963468).

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

201000100010112 is a wasteful number, since it uses less digits than its factorization.

201000100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421481070 (or 13421481055 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201000100010112 its reverse (211010001000102), we get a palindrome (412010101010214).

The spelling of 201000100010112 in words is "two hundred one trillion, one hundred million, ten thousand, one hundred twelve".