101002222010000 has 100 divisors (see below), whose sum is σ = 246779936313900. Its totient is φ = 40030238016000.

The previous prime is 101002222009981. The next prime is 101002222010021. The reversal of 101002222010000 is 10222200101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 71811455498896 + 29190766511104 = 8474164^2 + 5402848^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45241295 + ... + 47421294.

It is an arithmetic number, because the mean of its divisors is an integer number (2467799363139).

Almost surely, 2^{101002222010000} is an apocalyptic number.

101002222010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002222010000 is an abundant number, since it is smaller than the sum of its proper divisors (145777714303900).

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

101002222010000 is an equidigital number, since it uses as much as digits as its factorization.

101002222010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92662726 (or 92662705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101002222010000 its reverse (10222200101), we get a palindrome (101012444210101).

The spelling of 101002222010000 in words is "one hundred one trillion, two billion, two hundred twenty-two million, ten thousand".