101221112201202 has 768 divisors, whose sum is σ = 280831795200000. Its totient is φ = 26868641103360.

The previous prime is 101221112201201. The next prime is 101221112201399. The reversal of 101221112201202 is 202102211122101.

101221112201202 is a `hidden beast` number, since 10 + 1 + 221 + 11 + 220 + 1 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221112201201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 376286662324 + ... + 376286662592.

It is an arithmetic number, because the mean of its divisors is an integer number (365666400000).

Almost surely, 2^{101221112201202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221112201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140415897600000).

101221112201202 is an abundant number, since it is smaller than the sum of its proper divisors (179610682998798).

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

101221112201202 is a wasteful number, since it uses less digits than its factorization.

101221112201202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221112201202 its reverse (202102211122101), we get a palindrome (303323323323303).

The spelling of 101221112201202 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred one thousand, two hundred two".