101101001010072 has 128 divisors (see below), whose sum is σ = 289047699210240. Its totient is φ = 28867234366080.

The previous prime is 101101001010049. The next prime is 101101001010073. The reversal of 101101001010072 is 270010100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001010073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520085433 + ... + 4520107799.

It is an arithmetic number, because the mean of its divisors is an integer number (2258185150080).

Almost surely, 2^{101101001010072} is an apocalyptic number.

101101001010072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101001010072 is an abundant number, since it is smaller than the sum of its proper divisors (187946698200168).

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

101101001010072 is a wasteful number, since it uses less digits than its factorization.

101101001010072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38661 (or 38657 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 101101001010072 its reverse (270010100101101), we get a palindrome (371111101111173).

The spelling of 101101001010072 in words is "one hundred one trillion, one hundred one billion, one million, ten thousand, seventy-two".