10102100122112 has 160 divisors (see below), whose sum is σ = 20912246530560. Its totient is φ = 4872944332800.

The previous prime is 10102100122111. The next prime is 10102100122123. The reversal of 10102100122112 is 21122100120101.

It is a super-2 number, since 2×10102100122112² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102100122111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378583523 + ... + 378610205.

It is an arithmetic number, because the mean of its divisors is an integer number (130701540816).

Almost surely, 2^{10102100122112} 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 10102100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456123265280).

10102100122112 is an abundant number, since it is smaller than the sum of its proper divisors (10810146408448).

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

10102100122112 is an equidigital number, since it uses as much as digits as its factorization.

10102100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102100122112 its reverse (21122100120101), we get a palindrome (31224200242213).

The spelling of 10102100122112 in words is "ten trillion, one hundred two billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".