101010212122122 has 64 divisors (see below), whose sum is σ = 224976276645120. Its totient is φ = 33593714366400.

The previous prime is 101010212122121. The next prime is 101010212122123. The reversal of 101010212122122 is 221221212010101.

It is an interprime number because it is at equal distance from previous prime (101010212122121) and next prime (101010212122123).

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 = 101010212122095 and 101010212122104.

It is not an unprimeable number, because it can be changed into a prime (101010212122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258478308 + ... + 258868800.

It is an arithmetic number, because the mean of its divisors is an integer number (3515254322580).

Almost surely, 2^{101010212122122} is an apocalyptic number.

101010212122122 is an abundant number, since it is smaller than the sum of its proper divisors (123966064522998).

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

101010212122122 is a wasteful number, since it uses less digits than its factorization.

101010212122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401356 (or 401350 counting only the distinct ones).

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

Adding to 101010212122122 its reverse (221221212010101), we get a palindrome (322231424132223).

The spelling of 101010212122122 in words is "one hundred one trillion, ten billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".