101248770210 has 128 divisors (see below), whose sum is σ = 279479808000. Its totient is φ = 22995498240.

The previous prime is 101248770157. The next prime is 101248770257. The reversal of 101248770210 is 12077842101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48935056 + ... + 48937124.

It is an arithmetic number, because the mean of its divisors is an integer number (2183436000).

Almost surely, 2^101248770210 is an apocalyptic number.

101248770210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101248770210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139739904000).

101248770210 is an abundant number, since it is smaller than the sum of its proper divisors (178231037790).

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

101248770210 is a wasteful number, since it uses less digits than its factorization.

101248770210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456.

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 101248770210 in words is "one hundred one billion, two hundred forty-eight million, seven hundred seventy thousand, two hundred ten".