101501110000100 has 72 divisors (see below), whose sum is σ = 223595737915200. Its totient is φ = 39985359765120.

The previous prime is 101501110000097. The next prime is 101501110000109. The reversal of 101501110000100 is 1000011105101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101501110000109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27737201 + ... + 31182599.

Almost surely, 2^{101501110000100} is an apocalyptic number.

101501110000100 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 101501110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111797868957600).

101501110000100 is an abundant number, since it is smaller than the sum of its proper divisors (122094627915100).

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

101501110000100 is a wasteful number, since it uses less digits than its factorization.

101501110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449877 (or 3449870 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 101501110000100 its reverse (1000011105101), we get a palindrome (102501121105201).

The spelling of 101501110000100 in words is "one hundred one trillion, five hundred one billion, one hundred ten million, one hundred", and thus it is an aban number.