10000101111000 has 1024 divisors, whose sum is σ = 43024008867840. Its totient is φ = 1866240000000.

The previous prime is 10000101110977. The next prime is 10000101111031. The reversal of 10000101111000 is 11110100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10000101111000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111066000 + ... + 111156000.

It is an arithmetic number, because the mean of its divisors is an integer number (42015633660).

Almost surely, 2^{10000101111000} is an apocalyptic number.

10000101111000 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 10000101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21512004433920).

10000101111000 is an abundant number, since it is smaller than the sum of its proper divisors (33023907756840).

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

10000101111000 is a wasteful number, since it uses less digits than its factorization.

10000101111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90093 (or 90079 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10000101111000 its reverse (11110100001), we get a palindrome (10011211211001).

It can be divided in two parts, 10000101 and 111000, that added together give a palindrome (10111101).

The spelling of 10000101111000 in words is "ten trillion, one hundred one million, one hundred eleven thousand".