10100101001000 has 32 divisors (see below), whose sum is σ = 23634236344680. Its totient is φ = 4040040400000.

The previous prime is 10100101000903. The next prime is 10100101001021. The reversal of 10100101001000 is 10010100101.

It can be written as a sum of positive squares in 4 ways, for example, as 4530095073604 + 5570005927396 = 2128402^2 + 2360086^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050049501 + ... + 5050051500.

Almost surely, 2^{10100101001000} is an apocalyptic number.

10100101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101001000 is an abundant number, since it is smaller than the sum of its proper divisors (13534135343680).

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

10100101001000 is a wasteful number, since it uses less digits than its factorization.

10100101001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100101022 (or 10100101008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100101001000 its reverse (10010100101), we get a palindrome (10110111101101).

The spelling of 10100101001000 in words is "ten trillion, one hundred billion, one hundred one million, one thousand".