1020102022100 has 72 divisors (see below), whose sum is σ = 2678667929280. Its totient is φ = 329175774720.

The previous prime is 1020102022091. The next prime is 1020102022157. The reversal of 1020102022100 is 12202010201.

It is a happy number.

1020102022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42849530 + ... + 42873329.

It is an arithmetic number, because the mean of its divisors is an integer number (37203721240).

Almost surely, 2^{1020102022100} is an apocalyptic number.

1020102022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102022100 is an abundant number, since it is smaller than the sum of its proper divisors (1658565907180).

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

1020102022100 is a wasteful number, since it uses less digits than its factorization.

1020102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85722897 (or 85722890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020102022100 its reverse (12202010201), we get a palindrome (1032304032301).

The spelling of 1020102022100 in words is "one trillion, twenty billion, one hundred two million, twenty-two thousand, one hundred".