10101022211112 has 128 divisors (see below), whose sum is σ = 31153292236800. Its totient is φ = 2665337165568.

The previous prime is 10101022211101. The next prime is 10101022211123. The reversal of 10101022211112 is 21111222010101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101022211101) and next prime (10101022211123).

It is a junction number, because it is equal to n+sod(n) for n = 10101022211091 and 10101022211100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44959258 + ... + 45183369.

It is an arithmetic number, because the mean of its divisors is an integer number (243385095600).

Almost surely, 2^{10101022211112} is an apocalyptic number.

10101022211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101022211112 is an abundant number, since it is smaller than the sum of its proper divisors (21052270025688).

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

10101022211112 is a wasteful number, since it uses less digits than its factorization.

10101022211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90142695 (or 90142691 counting only the distinct ones).

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

Adding to 10101022211112 its reverse (21111222010101), we get a palindrome (31212244221213).

The spelling of 10101022211112 in words is "ten trillion, one hundred one billion, twenty-two million, two hundred eleven thousand, one hundred twelve".