10010551001000 has 128 divisors (see below), whose sum is σ = 25556360544000. Its totient is φ = 3639893536000.

The previous prime is 10010551000979. The next prime is 10010551001071. The reversal of 10010551001000 is 10015501001.

It is a super-2 number, since 2×10010551001000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161327981 + ... + 161390019.

It is an arithmetic number, because the mean of its divisors is an integer number (199659066750).

Almost surely, 2^{10010551001000} is an apocalyptic number.

10010551001000 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 10010551001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778180272000).

10010551001000 is an abundant number, since it is smaller than the sum of its proper divisors (15545809543000).

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

10010551001000 is a wasteful number, since it uses less digits than its factorization.

10010551001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76740 (or 76726 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10010551001000 its reverse (10015501001), we get a palindrome (10020566502001).

The spelling of 10010551001000 in words is "ten trillion, ten billion, five hundred fifty-one million, one thousand".