101426690400 has 576 divisors, whose sum is σ = 385535324160. Its totient is φ = 22682880000.

The previous prime is 101426690399. The next prime is 101426690401. The reversal of 101426690400 is 4096624101.

101426690400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101426690399) and next prime (101426690401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101426690401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 282525421 + ... + 282525779.

It is an arithmetic number, because the mean of its divisors is an integer number (669332160).

Almost surely, 2^101426690400 is an apocalyptic number.

101426690400 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 101426690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192767662080).

101426690400 is an abundant number, since it is smaller than the sum of its proper divisors (284108633760).

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

101426690400 is a wasteful number, since it uses less digits than its factorization.

101426690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 101426690400 in words is "one hundred one billion, four hundred twenty-six million, six hundred ninety thousand, four hundred".