10201012101100 has 72 divisors (see below), whose sum is σ = 22294313072640. Its totient is φ = 4051356889920.

The previous prime is 10201012101073. The next prime is 10201012101121. The reversal of 10201012101100 is 110121010201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7718661 + ... + 8943139.

It is an arithmetic number, because the mean of its divisors is an integer number (309643237120).

Almost surely, 2^{10201012101100} is an apocalyptic number.

10201012101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201012101100 is an abundant number, since it is smaller than the sum of its proper divisors (12093300971540).

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

10201012101100 is a wasteful number, since it uses less digits than its factorization.

10201012101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225087 (or 1225080 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201012101100 its reverse (110121010201), we get a palindrome (10311133111301).

The spelling of 10201012101100 in words is "ten trillion, two hundred one billion, twelve million, one hundred one thousand, one hundred".