201121140400 has 60 divisors (see below), whose sum is σ = 493474299552. Its totient is φ = 78736779520.

The previous prime is 201121140383. The next prime is 201121140419. The reversal of 201121140400 is 4041121102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5330167 + ... + 5367766.

Almost surely, 2^201121140400 is an apocalyptic number.

201121140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121140400 is an abundant number, since it is smaller than the sum of its proper divisors (292353159152).

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

201121140400 is a wasteful number, since it uses less digits than its factorization.

201121140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697998 (or 10697987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201121140400 its reverse (4041121102), we get a palindrome (205162261502).

The spelling of 201121140400 in words is "two hundred one billion, one hundred twenty-one million, one hundred forty thousand, four hundred".