101322253990400 has 240 divisors, whose sum is σ = 252541858087200. Its totient is φ = 40286009180160.

The previous prime is 101322253990381. The next prime is 101322253990409. The reversal of 101322253990400 is 4099352223101.

It is not an unprimeable number, because it can be changed into a prime (101322253990409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1814384879 + ... + 1814440721.

It is an arithmetic number, because the mean of its divisors is an integer number (1052257742030).

Almost surely, 2^{101322253990400} is an apocalyptic number.

101322253990400 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 101322253990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270929043600).

101322253990400 is an abundant number, since it is smaller than the sum of its proper divisors (151219604096800).

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

101322253990400 is an equidigital number, since it uses as much as digits as its factorization.

101322253990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56719 (or 56698 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 101322253990400 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred fifty-three million, nine hundred ninety thousand, four hundred".