101202012022122 has 256 divisors, whose sum is σ = 250815054182400. Its totient is φ = 29988496097280.

The previous prime is 101202012022109. The next prime is 101202012022151. The reversal of 101202012022122 is 221220210202101.

It is a happy number.

101202012022122 is a `hidden beast` number, since 101 + 202 + 0 + 120 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101202012022095 and 101202012022104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6818156833 + ... + 6818171675.

It is an arithmetic number, because the mean of its divisors is an integer number (979746305400).

Almost surely, 2^{101202012022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202012022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125407527091200).

101202012022122 is an abundant number, since it is smaller than the sum of its proper divisors (149613042160278).

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

101202012022122 is a wasteful number, since it uses less digits than its factorization.

101202012022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101202012022122 its reverse (221220210202101), we get a palindrome (322422222224223).

The spelling of 101202012022122 in words is "one hundred one trillion, two hundred two billion, twelve million, twenty-two thousand, one hundred twenty-two".