101112202000 has 160 divisors (see below), whose sum is σ = 246752644320. Its totient is φ = 40072550400.

The previous prime is 101112201997. The next prime is 101112202003. The reversal of 101112202000 is 202211101.

It is an interprime number because it is at equal distance from previous prime (101112201997) and next prime (101112202003).

It can be written as a sum of positive squares in 16 ways, for example, as 64418500864 + 36693701136 = 253808^2 + 191556^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101112202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126865602 + ... + 126866398.

It is an arithmetic number, because the mean of its divisors is an integer number (1542204027).

Almost surely, 2^101112202000 is an apocalyptic number.

101112202000 is a gapful number since it is divisible by the number (10) 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 101112202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123376322160).

101112202000 is an abundant number, since it is smaller than the sum of its proper divisors (145640442320).

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

101112202000 is a wasteful number, since it uses less digits than its factorization.

101112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101112202000 its reverse (202211101), we get a palindrome (101314413101).

The spelling of 101112202000 in words is "one hundred one billion, one hundred twelve million, two hundred two thousand".