1021000220100 has 216 divisors, whose sum is σ = 3658412179968. Its totient is φ = 233310067200.

The previous prime is 1021000220083. The next prime is 1021000220117. The reversal of 1021000220100 is 10220001201.

It is an interprime number because it is at equal distance from previous prime (1021000220083) and next prime (1021000220117).

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 71 ways as a sum of consecutive naturals, for example, 26547885 + ... + 26586315.

Almost surely, 2^{1021000220100} is an apocalyptic number.

1021000220100 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 1021000220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829206089984).

1021000220100 is an abundant number, since it is smaller than the sum of its proper divisors (2637411959868).

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

1021000220100 is a wasteful number, since it uses less digits than its factorization.

1021000220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42675 (or 42665 counting only the distinct ones).

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

Adding to 1021000220100 its reverse (10220001201), we get a palindrome (1031220221301).

It can be divided in two parts, 1021000 and 220100, that added together give a triangular number (1241100 = T₁₅₇₅).

The spelling of 1021000220100 in words is "one trillion, twenty-one billion, two hundred twenty thousand, one hundred".