10010101210112 has 88 divisors (see below), whose sum is σ = 20882529453600. Its totient is φ = 4786961924096.

The previous prime is 10010101210051. The next prime is 10010101210139. The reversal of 10010101210112 is 21101210101001.

It is a junction number, because it is equal to n+sod(n) for n = 10010101210093 and 10010101210102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382212314 + ... + 382238502.

Almost surely, 2^{10010101210112} 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 10010101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441264726800).

10010101210112 is an abundant number, since it is smaller than the sum of its proper divisors (10872428243488).

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

10010101210112 is a wasteful number, since it uses less digits than its factorization.

10010101210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42461 (or 42443 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10010101210112 its reverse (21101210101001), we get a palindrome (31111311311113).

It can be divided in two parts, 1001010 and 1210112, that added together give a palindrome (2211122).

The spelling of 10010101210112 in words is "ten trillion, ten billion, one hundred one million, two hundred ten thousand, one hundred twelve".