10100201001120 has 240 divisors, whose sum is σ = 36795142315008. Its totient is φ = 2606503380480.

The previous prime is 10100201001119. The next prime is 10100201001157. The reversal of 10100201001120 is 2110010200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12168184 + ... + 12971703.

Almost surely, 2^{10100201001120} is an apocalyptic number.

10100201001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201001120 is an abundant number, since it is smaller than the sum of its proper divisors (26694941313888).

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

10100201001120 is a wasteful number, since it uses less digits than its factorization.

10100201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25139945 (or 25139928 counting only the distinct ones).

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

Adding to 10100201001120 its reverse (2110010200101), we get a palindrome (12210211201221).

The spelling of 10100201001120 in words is "ten trillion, one hundred billion, two hundred one million, one thousand, one hundred twenty".