10201142113400 has 48 divisors (see below), whose sum is σ = 27105891905040. Its totient is φ = 3497534438400.

The previous prime is 10201142113319. The next prime is 10201142113417. The reversal of 10201142113400 is 431124110201.

10201142113400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 3643263641 + ... + 3643266440.

It is an arithmetic number, because the mean of its divisors is an integer number (564706081355).

Almost surely, 2^{10201142113400} is an apocalyptic number.

10201142113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201142113400 is an abundant number, since it is smaller than the sum of its proper divisors (16904749791640).

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

10201142113400 is a wasteful number, since it uses less digits than its factorization.

10201142113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286530104 (or 7286530095 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10201142113400 its reverse (431124110201), we get a palindrome (10632266223601).

The spelling of 10201142113400 in words is "ten trillion, two hundred one billion, one hundred forty-two million, one hundred thirteen thousand, four hundred".