10201102121200 has 30 divisors (see below), whose sum is σ = 24508147847144. Its totient is φ = 4080440848320.

The previous prime is 10201102121159. The next prime is 10201102121213. The reversal of 10201102121200 is 212120110201.

It is a super-2 number, since 2×10201102121200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12751377252 + ... + 12751378051.

Almost surely, 2^{10201102121200} is an apocalyptic number.

10201102121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201102121200 is an abundant number, since it is smaller than the sum of its proper divisors (14307045725944).

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

10201102121200 is a wasteful number, since it uses less digits than its factorization.

10201102121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25502755321 (or 25502755310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201102121200 its reverse (212120110201), we get a palindrome (10413222231401).

The spelling of 10201102121200 in words is "ten trillion, two hundred one billion, one hundred two million, one hundred twenty-one thousand, two hundred".