10220101002000 has 480 divisors, whose sum is σ = 37038320583264. Its totient is φ = 2624348160000.

The previous prime is 10220101001993. The next prime is 10220101002029. The reversal of 10220101002000 is 20010102201.

It can be written as a sum of positive squares in 16 ways, for example, as 8247671759376 + 1972429242624 = 2871876^2 + 1404432^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64522900 + ... + 64681100.

Almost surely, 2^{10220101002000} is an apocalyptic number.

10220101002000 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 10220101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519160291632).

10220101002000 is an abundant number, since it is smaller than the sum of its proper divisors (26818219581264).

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

10220101002000 is a wasteful number, since it uses less digits than its factorization.

10220101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158364 (or 158345 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220101002000 its reverse (20010102201), we get a palindrome (10240111104201).

The spelling of 10220101002000 in words is "ten trillion, two hundred twenty billion, one hundred one million, two thousand".