10020100110000 has 300 divisors, whose sum is σ = 34138290368952. Its totient is φ = 2531390976000.

The previous prime is 10020100109947. The next prime is 10020100110067. The reversal of 10020100110000 is 1100102001.

10020100110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10367392 + ... + 11292608.

Almost surely, 2^{10020100110000} is an apocalyptic number.

10020100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069145184476).

10020100110000 is an abundant number, since it is smaller than the sum of its proper divisors (24118190258952).

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

10020100110000 is an equidigital number, since it uses as much as digits as its factorization.

10020100110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925286 (or 925246 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10020100110000 its reverse (1100102001), we get a palindrome (10021200212001).

The spelling of 10020100110000 in words is "ten trillion, twenty billion, one hundred million, one hundred ten thousand".