101015251780 has 48 divisors (see below), whose sum is σ = 218026655280. Its totient is φ = 39313649664.

The previous prime is 101015251769. The next prime is 101015251793. The reversal of 101015251780 is 87152510101.

It can be written as a sum of positive squares in 8 ways, for example, as 299151616 + 100716100164 = 17296^2 + 317358^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963204 + ... + 1062916.

It is an arithmetic number, because the mean of its divisors is an integer number (4542221985).

Almost surely, 2^101015251780 is an apocalyptic number.

101015251780 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 101015251780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109013327640).

101015251780 is an abundant number, since it is smaller than the sum of its proper divisors (117011403500).

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

101015251780 is an frugal number, since it uses more digits than its factorization.

101015251780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99833 (or 99757 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 31.

Adding to 101015251780 its reverse (87152510101), we get a palindrome (188167761881).

The spelling of 101015251780 in words is "one hundred one billion, fifteen million, two hundred fifty-one thousand, seven hundred eighty".