10100010100000 has 216 divisors, whose sum is σ = 25104952859868. Its totient is φ = 3999600000000.

The previous prime is 10100010099983. The next prime is 10100010100003. The reversal of 10100010100000 is 101000101.

It can be written as a sum of positive squares in 18 ways, for example, as 677836062864 + 9422174037136 = 823308^2 + 3069556^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10100010100003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1020095050 + ... + 1020104950.

Almost surely, 2^{10100010100000} is an apocalyptic number.

10100010100000 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 10100010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552476429934).

10100010100000 is an abundant number, since it is smaller than the sum of its proper divisors (15004942759868).

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

10100010100000 is an frugal number, since it uses more digits than its factorization.

10100010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100010100000 its reverse (101000101), we get a palindrome (10100111100101).

10100010100000 divided by its reverse (101000101) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 101000 and 10100000, that multiplied together give a square (1020100000000 = 1010000²).

The spelling of 10100010100000 in words is "ten trillion, one hundred billion, ten million, one hundred thousand".