100220101101000 has 384 divisors, whose sum is σ = 341348552344800. Its totient is φ = 26520315494400.

The previous prime is 100220101100981. The next prime is 100220101101019. The reversal of 100220101101000 is 101101022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100220101100981) and next prime (100220101101019).

It can be written as a sum of positive squares in 16 ways, for example, as 28983428907876 + 71236672193124 = 5383626^2 + 8440182^2 .

It is a super-2 number, since 2×100220101101000² (a number of 29 digits) contains 22 as substring.

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, 1086550884 + ... + 1086643116.

Almost surely, 2^{100220101101000} is an apocalyptic number.

100220101101000 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 100220101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170674276172400).

100220101101000 is an abundant number, since it is smaller than the sum of its proper divisors (241128451243800).

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

100220101101000 is a wasteful number, since it uses less digits than its factorization.

100220101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93186 (or 93169 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100220101101000 its reverse (101101022001), we get a palindrome (100321202123001).

The spelling of 100220101101000 in words is "one hundred trillion, two hundred twenty billion, one hundred one million, one hundred one thousand".