1022101020100 has 36 divisors (see below), whose sum is σ = 2218010382868. Its totient is φ = 408830976000.

The previous prime is 1022101020079. The next prime is 1022101020103. The reversal of 1022101020100 is 10201012201.

It can be written as a sum of positive squares in 6 ways, for example, as 253943429184 + 768157590916 = 503928^2 + 876446^2 .

It is a super-3 number, since 3×1022101020100³ (a number of 37 digits) contains 333 as substring.

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 (1022101020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5634820 + ... + 5813380.

Almost surely, 2^{1022101020100} is an apocalyptic number.

1022101020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022101020100 is an abundant number, since it is smaller than the sum of its proper divisors (1195909362768).

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

1022101020100 is a wasteful number, since it uses less digits than its factorization.

1022101020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235816 (or 235809 counting only the distinct ones).

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

Adding to 1022101020100 its reverse (10201012201), we get a palindrome (1032302032301).

The spelling of 1022101020100 in words is "one trillion, twenty-two billion, one hundred one million, twenty thousand, one hundred".