101022401042200 has 192 divisors, whose sum is σ = 257414108371200. Its totient is φ = 36565964198400.

The previous prime is 101022401042159. The next prime is 101022401042219. The reversal of 101022401042200 is 2240104220101.

It is a congruent number.

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, 431903682 + ... + 432137518.

It is an arithmetic number, because the mean of its divisors is an integer number (1340698481100).

Almost surely, 2^{101022401042200} is an apocalyptic number.

101022401042200 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 101022401042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128707054185600).

101022401042200 is an abundant number, since it is smaller than the sum of its proper divisors (156391707329000).

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

101022401042200 is a wasteful number, since it uses less digits than its factorization.

101022401042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234770 (or 234761 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 101022401042200 its reverse (2240104220101), we get a palindrome (103262505262301).

The spelling of 101022401042200 in words is "one hundred one trillion, twenty-two billion, four hundred one million, forty-two thousand, two hundred".