1020101091900 has 144 divisors (see below), whose sum is σ = 3221170581888. Its totient is φ = 247192736000.

The previous prime is 1020101091899. The next prime is 1020101091913. The reversal of 1020101091900 is 91901010201.

It is a super-2 number, since 2×1020101091900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7892194 + ... + 8020406.

It is an arithmetic number, because the mean of its divisors is an integer number (22369240152).

Almost surely, 2^{1020101091900} is an apocalyptic number.

1020101091900 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 1020101091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610585290944).

1020101091900 is an abundant number, since it is smaller than the sum of its proper divisors (2201069489988).

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

1020101091900 is a wasteful number, since it uses less digits than its factorization.

1020101091900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130652 (or 130645 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 1020101091900 in words is "one trillion, twenty billion, one hundred one million, ninety-one thousand, nine hundred".