101202102111012 has 192 divisors, whose sum is σ = 276746144317440. Its totient is φ = 28189793923200.

The previous prime is 101202102111001. The next prime is 101202102111041. The reversal of 101202102111012 is 210111201202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101202102110982 and 101202102111000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177540337 + ... + 178109447.

It is an arithmetic number, because the mean of its divisors is an integer number (1441386168320).

Almost surely, 2^{101202102111012} is an apocalyptic number.

101202102111012 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 101202102111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138373072158720).

101202102111012 is an abundant number, since it is smaller than the sum of its proper divisors (175544042206428).

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

101202102111012 is a wasteful number, since it uses less digits than its factorization.

101202102111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569542 (or 569540 counting only the distinct ones).

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

Adding to 101202102111012 its reverse (210111201202101), we get a palindrome (311313303313113).

The spelling of 101202102111012 in words is "one hundred one trillion, two hundred two billion, one hundred two million, one hundred eleven thousand, twelve".