10202001012112 has 200 divisors, whose sum is σ = 24884786535616. Its totient is φ = 4027573041408.

The previous prime is 10202001012083. The next prime is 10202001012127. The reversal of 10202001012112 is 21121010020201.

It is a super-2 number, since 2×10202001012112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10202001012092 and 10202001012101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243190723 + ... + 243232669.

Almost surely, 2^{10202001012112} 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 10202001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442393267808).

10202001012112 is an abundant number, since it is smaller than the sum of its proper divisors (14682785523504).

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

10202001012112 is an equidigital number, since it uses as much as digits as its factorization.

10202001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42483 (or 42456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10202001012112 its reverse (21121010020201), we get a palindrome (31323011032313).

The spelling of 10202001012112 in words is "ten trillion, two hundred two billion, one million, twelve thousand, one hundred twelve".