102010021020112 has 80 divisors (see below), whose sum is σ = 206171175450240. Its totient is φ = 48835247924736.

The previous prime is 102010021020091. The next prime is 102010021020119. The reversal of 102010021020112 is 211020120010201.

It is a junction number, because it is equal to n+sod(n) for n = 102010021020092 and 102010021020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010021020119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35250583 + ... + 38034505.

It is an arithmetic number, because the mean of its divisors is an integer number (2577139693128).

Almost surely, 2^{102010021020112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010021020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103085587725120).

102010021020112 is an abundant number, since it is smaller than the sum of its proper divisors (104161154430128).

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

102010021020112 is a wasteful number, since it uses less digits than its factorization.

102010021020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784620 (or 2784614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102010021020112 its reverse (211020120010201), we get a palindrome (313030141030313).

The spelling of 102010021020112 in words is "one hundred two trillion, ten billion, twenty-one million, twenty thousand, one hundred twelve".