101235213050400 has 3456 divisors, whose sum is σ = 452493896037120. Its totient is φ = 21518991360000.

The previous prime is 101235213050371. The next prime is 101235213050507. The reversal of 101235213050400 is 4050312532101.

101235213050400 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 352 + 1 + 305 + 0 + 4 + 0 + 0 = 666.

101235213050400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101235213050400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 252456890200 + ... + 252456890600.

It is an arithmetic number, because the mean of its divisors is an integer number (130929946770).

Almost surely, 2^{101235213050400} is an apocalyptic number.

101235213050400 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 101235213050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226246948018560).

101235213050400 is an abundant number, since it is smaller than the sum of its proper divisors (351258682986720).

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

101235213050400 is a wasteful number, since it uses less digits than its factorization.

101235213050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101235213050400 its reverse (4050312532101), we get a palindrome (105285525582501).

The spelling of 101235213050400 in words is "one hundred one trillion, two hundred thirty-five billion, two hundred thirteen million, fifty thousand, four hundred".