1022010102100 has 144 divisors (see below), whose sum is σ = 2529649685808. Its totient is φ = 355047874560.

The previous prime is 1022010102059. The next prime is 1022010102133. The reversal of 1022010102100 is 12010102201.

1022010102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 958922728516 + 63087373584 = 979246^2 + 251172^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102472714 + ... + 102482686.

It is an arithmetic number, because the mean of its divisors is an integer number (17567011707).

Almost surely, 2^{1022010102100} is an apocalyptic number.

1022010102100 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 1022010102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264824842904).

1022010102100 is an abundant number, since it is smaller than the sum of its proper divisors (1507639583708).

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

1022010102100 is a wasteful number, since it uses less digits than its factorization.

1022010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14654 (or 14647 counting only the distinct ones).

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

Adding to 1022010102100 its reverse (12010102201), we get a palindrome (1034020204301).

The spelling of 1022010102100 in words is "one trillion, twenty-two billion, ten million, one hundred two thousand, one hundred".