102111201021012 has 96 divisors (see below), whose sum is σ = 253162678970880. Its totient is φ = 31941843569280.

The previous prime is 102111201020987. The next prime is 102111201021013. The reversal of 102111201021012 is 210120102111201.

It is a happy number.

It is a super-2 number, since 2×102111201021012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111201020982 and 102111201021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111201021013) 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, 333852778 + ... + 334158494.

It is an arithmetic number, because the mean of its divisors is an integer number (2637111239280).

Almost surely, 2^{102111201021012} is an apocalyptic number.

102111201021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111201021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126581339485440).

102111201021012 is an abundant number, since it is smaller than the sum of its proper divisors (151051477949868).

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

102111201021012 is a wasteful number, since it uses less digits than its factorization.

102111201021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319541 (or 319539 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111201021012 its reverse (210120102111201), we get a palindrome (312231303132213).

The spelling of 102111201021012 in words is "one hundred two trillion, one hundred eleven billion, two hundred one million, twenty-one thousand, twelve".