101020012002012 has 48 divisors (see below), whose sum is σ = 248164435209600. Its totient is φ = 31895256888000.

The previous prime is 101020012002001. The next prime is 101020012002023. The reversal of 101020012002012 is 210200210020101.

It is an interprime number because it is at equal distance from previous prime (101020012002001) and next prime (101020012002023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39017562 + ... + 41526017.

It is an arithmetic number, because the mean of its divisors is an integer number (5170092400200).

Almost surely, 2^{101020012002012} is an apocalyptic number.

101020012002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020012002012 is an abundant number, since it is smaller than the sum of its proper divisors (147144423207588).

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

101020012002012 is a wasteful number, since it uses less digits than its factorization.

101020012002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80549106 (or 80549104 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020012002012 its reverse (210200210020101), we get a palindrome (311220222022113).

The spelling of 101020012002012 in words is "one hundred one trillion, twenty billion, twelve million, two thousand, twelve".