10201010012100 has 216 divisors, whose sum is σ = 33897990334208. Its totient is φ = 2561369299200.

The previous prime is 10201010012077. The next prime is 10201010012107. The reversal of 10201010012100 is 121001010201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10201010012107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3908614 + ... + 5973213.

Almost surely, 2^{10201010012100} is an apocalyptic number.

10201010012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201010012100 is an abundant number, since it is smaller than the sum of its proper divisors (23696980322108).

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

10201010012100 is a wasteful number, since it uses less digits than its factorization.

10201010012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881915 (or 9881905 counting only the distinct ones).

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

Adding to 10201010012100 its reverse (121001010201), we get a palindrome (10322011022301).

The spelling of 10201010012100 in words is "ten trillion, two hundred one billion, ten million, twelve thousand, one hundred".