101212001212122 has 96 divisors (see below), whose sum is σ = 227718474984000. Its totient is φ = 33692270122368.

The previous prime is 101212001212061. The next prime is 101212001212141. The reversal of 101212001212122 is 221212100212101.

101212001212122 is a `hidden beast` number, since 10 + 121 + 200 + 1 + 212 + 122 = 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 = 101212001212095 and 101212001212104.

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, 2921048254 + ... + 2921082902.

It is an arithmetic number, because the mean of its divisors is an integer number (2372067447750).

Almost surely, 2^{101212001212122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212001212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113859237492000).

101212001212122 is an abundant number, since it is smaller than the sum of its proper divisors (126506473771878).

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

101212001212122 is an equidigital number, since it uses as much as digits as its factorization.

101212001212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42522 (or 42510 counting only the distinct ones).

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

Adding to 101212001212122 its reverse (221212100212101), we get a palindrome (322424101424223).

The spelling of 101212001212122 in words is "one hundred one trillion, two hundred twelve billion, one million, two hundred twelve thousand, one hundred twenty-two".