101426610390 has 128 divisors (see below), whose sum is σ = 283640113152. Its totient is φ = 22730373120.

The previous prime is 101426610379. The next prime is 101426610391. The reversal of 101426610390 is 93016624101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101426610391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26966110 + ... + 26969870.

It is an arithmetic number, because the mean of its divisors is an integer number (2215938384).

Almost surely, 2^101426610390 is an apocalyptic number.

101426610390 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 101426610390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141820056576).

101426610390 is an abundant number, since it is smaller than the sum of its proper divisors (182213502762).

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

101426610390 is a wasteful number, since it uses less digits than its factorization.

101426610390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 101426610390 in words is "one hundred one billion, four hundred twenty-six million, six hundred ten thousand, three hundred ninety".