101011001100100 has 144 divisors (see below), whose sum is σ = 269891588832768. Its totient is φ = 31954746908160.

The previous prime is 101011001100041. The next prime is 101011001100169. The reversal of 101011001100100 is 1001100110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19093989 + ... + 23803411.

It is an arithmetic number, because the mean of its divisors is an integer number (1874247144672).

Almost surely, 2^{101011001100100} is an apocalyptic number.

101011001100100 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 101011001100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134945794416384).

101011001100100 is an abundant number, since it is smaller than the sum of its proper divisors (168880587732668).

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

101011001100100 is a wasteful number, since it uses less digits than its factorization.

101011001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711814 (or 4711807 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011001100100 its reverse (1001100110101), we get a palindrome (102012101210201).

It can be divided in two parts, 101011001 and 100100, that added together give a palindrome (101111101).

The spelling of 101011001100100 in words is "one hundred one trillion, eleven billion, one million, one hundred thousand, one hundred".