10100100010000 has 2400 divisors, whose sum is σ = 36223390304640. Its totient is φ = 2670796800000.

The previous prime is 10100100009997. The next prime is 10100100010009. The reversal of 10100100010000 is 1000100101.

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 (10100100010009) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 72662589931 + ... + 72662590069.

Almost surely, 2^{10100100010000} is an apocalyptic number.

10100100010000 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 10100100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111695152320).

10100100010000 is an abundant number, since it is smaller than the sum of its proper divisors (26123290294640).

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

10100100010000 is a wasteful number, since it uses less digits than its factorization.

10100100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

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

Adding to 10100100010000 its reverse (1000100101), we get a palindrome (10101100110101).

The spelling of 10100100010000 in words is "ten trillion, one hundred billion, one hundred million, ten thousand".