10201102011400 has 48 divisors (see below), whose sum is σ = 25112712901140. Its totient is φ = 3840414873600.

The previous prime is 10201102011343. The next prime is 10201102011431. The reversal of 10201102011400 is 411020110201.

It can be written as a sum of positive squares in 6 ways, for example, as 1815201122436 + 8385900888964 = 1347294^2 + 2895842^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500158661 + ... + 1500165460.

Almost surely, 2^{10201102011400} is an apocalyptic number.

10201102011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201102011400 is an abundant number, since it is smaller than the sum of its proper divisors (14911610889740).

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

10201102011400 is a wasteful number, since it uses less digits than its factorization.

10201102011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000324154 (or 3000324145 counting only the distinct ones).

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

Adding to 10201102011400 its reverse (411020110201), we get a palindrome (10612122121601).

The spelling of 10201102011400 in words is "ten trillion, two hundred one billion, one hundred two million, eleven thousand, four hundred".