10220101202000 has 80 divisors (see below), whose sum is σ = 24869608048272. Its totient is φ = 4062001881600.

The previous prime is 10220101201963. The next prime is 10220101202009. The reversal of 10220101202000 is 20210102201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3626175679504 + 6593925522496 = 1904252^2 + 2567864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220101202009) 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, 15960047 + ... + 16588046.

Almost surely, 2^{10220101202000} is an apocalyptic number.

10220101202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220101202000 is an abundant number, since it is smaller than the sum of its proper divisors (14649506846272).

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

10220101202000 is a wasteful number, since it uses less digits than its factorization.

10220101202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32548273 (or 32548257 counting only the distinct ones).

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

Adding to 10220101202000 its reverse (20210102201), we get a palindrome (10240311304201).

The spelling of 10220101202000 in words is "ten trillion, two hundred twenty billion, one hundred one million, two hundred two thousand".