10010100101000 has 32 divisors (see below), whose sum is σ = 23423634238680. Its totient is φ = 4004040040000.

The previous prime is 10010100100981. The next prime is 10010100101009. The reversal of 10010100101000 is 10100101001.

10010100101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5638981619716 + 4371118481284 = 2374654^2 + 2090722^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10010100101009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5005049051 + ... + 5005051050.

Almost surely, 2^{10010100101000} is an apocalyptic number.

10010100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010100101000 is an abundant number, since it is smaller than the sum of its proper divisors (13413534137680).

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

10010100101000 is a wasteful number, since it uses less digits than its factorization.

10010100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010100122 (or 10010100108 counting only the distinct ones).

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

Adding to 10010100101000 its reverse (10100101001), we get a palindrome (10020200202001).

Subtracting from 10010100101000 its reverse (10100101001), we obtain a palindrome (9999999999999).

The spelling of 10010100101000 in words is "ten trillion, ten billion, one hundred million, one hundred one thousand".