10100000000000 has 288 divisors, whose sum is σ = 25493774309640. Its totient is φ = 4000000000000.

The previous prime is 10099999999997. The next prime is 10100000000021. The reversal of 10100000000000 is 101.

It can be written as a sum of positive squares in 12 ways, for example, as 870653215744 + 9229346784256 = 933088^2 + 3037984^2 .

It is a sliding number, since 10100000000000 = 100000000000 + 10000000000000 and 1/100000000000 + 1/10000000000000 = 0.000000000010100000000000.

It is a Harshad number since it is a multiple of its sum of digits (2).

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 23 ways as a sum of consecutive naturals, for example, 99999999950 + ... + 100000000050.

Almost surely, 2^{10100000000000} is an apocalyptic number.

10100000000000 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 10100000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746887154820).

10100000000000 is an abundant number, since it is smaller than the sum of its proper divisors (15393774309640).

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

10100000000000 is an frugal number, since it uses more digits than its factorization.

10100000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 10100000000000 its reverse (101), we get a palindrome (10100000000101).

10100000000000 divided by its reverse (101) gives a 11-th power (100000000000 = 10¹¹).

The spelling of 10100000000000 in words is "ten trillion, one hundred billion", and thus it is an aban number.