1012012102101 has 256 divisors, whose sum is σ = 1947373166592. Its totient is φ = 453615022080.

The previous prime is 1012012102063. The next prime is 1012012102133.

1012012102101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012012102101 - 2⁶ = 1012012102037 is a prime.

It is a super-2 number, since 2×1012012102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012012102141) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1068650110 + ... + 1068651056.

It is an arithmetic number, because the mean of its divisors is an integer number (7606926432).

Almost surely, 2^{1012012102101} is an apocalyptic number.

1012012102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012012102101 is a deficient number, since it is larger than the sum of its proper divisors (935361064491).

1012012102101 is a wasteful number, since it uses less digits than its factorization.

1012012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 1012012102101 in words is "one trillion, twelve billion, twelve million, one hundred two thousand, one hundred one".