102011012012 has 72 divisors (see below), whose sum is σ = 224775858384. Its totient is φ = 40150954368.

The previous prime is 102011012009. The next prime is 102011012069. The reversal of 102011012012 is 210210110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011011984 and 102011012002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400343 + ... + 603569.

It is an arithmetic number, because the mean of its divisors is an integer number (3121886922).

Almost surely, 2^102011012012 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 102011012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112387929192).

102011012012 is an abundant number, since it is smaller than the sum of its proper divisors (122764846372).

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

102011012012 is a wasteful number, since it uses less digits than its factorization.

102011012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203455 (or 203446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102011012012 its reverse (210210110201), we get a palindrome (312221122213).

The spelling of 102011012012 in words is "one hundred two billion, eleven million, twelve thousand, twelve".