10122101012240 has 160 divisors (see below), whose sum is σ = 26981820195840. Its totient is φ = 3459350472192.

The previous prime is 10122101012239. The next prime is 10122101012291. The reversal of 10122101012240 is 4221010122101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847812191 + ... + 847824129.

It is an arithmetic number, because the mean of its divisors is an integer number (168636376224).

Almost surely, 2^{10122101012240} is an apocalyptic number.

10122101012240 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 10122101012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490910097920).

10122101012240 is an abundant number, since it is smaller than the sum of its proper divisors (16859719183600).

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

10122101012240 is a wasteful number, since it uses less digits than its factorization.

10122101012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16669 (or 16663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10122101012240 its reverse (4221010122101), we get a palindrome (14343111134341).

The spelling of 10122101012240 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, two hundred forty".