10201223131400 has 192 divisors, whose sum is σ = 28535721216000. Its totient is φ = 3313134316800.

The previous prime is 10201223131387. The next prime is 10201223131417. The reversal of 10201223131400 is 413132210201.

It is a super-2 number, since 2×10201223131400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423433355 + ... + 423457445.

It is an arithmetic number, because the mean of its divisors is an integer number (148623548000).

Almost surely, 2^{10201223131400} is an apocalyptic number.

10201223131400 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 10201223131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267860608000).

10201223131400 is an abundant number, since it is smaller than the sum of its proper divisors (18334498084600).

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

10201223131400 is a wasteful number, since it uses less digits than its factorization.

10201223131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40052 (or 40043 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10201223131400 its reverse (413132210201), we get a palindrome (10614355341601).

The spelling of 10201223131400 in words is "ten trillion, two hundred one billion, two hundred twenty-three million, one hundred thirty-one thousand, four hundred".