101422266400 has 288 divisors, whose sum is σ = 305777179008. Its totient is φ = 31988736000.

The previous prime is 101422266391. The next prime is 101422266431. The reversal of 101422266400 is 4662224101.

It is a super-2 number, since 2×101422266400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 22784175 + ... + 22788625.

It is an arithmetic number, because the mean of its divisors is an integer number (1061726316).

Almost surely, 2^101422266400 is an apocalyptic number.

101422266400 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 101422266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152888589504).

101422266400 is an abundant number, since it is smaller than the sum of its proper divisors (204354912608).

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

101422266400 is a wasteful number, since it uses less digits than its factorization.

101422266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 101422266400 in words is "one hundred one billion, four hundred twenty-two million, two hundred sixty-six thousand, four hundred".