101180138897920 has 160 divisors (see below), whose sum is σ = 250534437626880. Its totient is φ = 39148739051520.

The previous prime is 101180138897897. The next prime is 101180138897921. The reversal of 101180138897920 is 29798831081101.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (101180138897921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175335621 + ... + 175911739.

It is an arithmetic number, because the mean of its divisors is an integer number (1565840235168).

Almost surely, 2^{101180138897920} is an apocalyptic number.

101180138897920 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 101180138897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125267218813440).

101180138897920 is an abundant number, since it is smaller than the sum of its proper divisors (149354298728960).

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

101180138897920 is an equidigital number, since it uses as much as digits as its factorization.

101180138897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578386 (or 578370 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 58.

The spelling of 101180138897920 in words is "one hundred one trillion, one hundred eighty billion, one hundred thirty-eight million, eight hundred ninety-seven thousand, nine hundred twenty".