1022100100020 has 96 divisors (see below), whose sum is σ = 3180013200000. Its totient is φ = 272547493632.

The previous prime is 1022100100003. The next prime is 1022100100027. The reversal of 1022100100020 is 200010012201.

It is a super-2 number, since 2×1022100100020² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022100099975 and 1022100100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22927192 + ... + 22971728.

It is an arithmetic number, because the mean of its divisors is an integer number (33125137500).

Almost surely, 2^{1022100100020} is an apocalyptic number.

1022100100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100100020 is an abundant number, since it is smaller than the sum of its proper divisors (2157913099980).

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

1022100100020 is a wasteful number, since it uses less digits than its factorization.

1022100100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87054 (or 87046 counting only the distinct ones).

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

Adding to 1022100100020 its reverse (200010012201), we get a palindrome (1222110112221).

The spelling of 1022100100020 in words is "one trillion, twenty-two billion, one hundred million, one hundred thousand, twenty".