1020102311100 has 288 divisors, whose sum is σ = 3144438118080. Its totient is φ = 254447861760.

The previous prime is 1020102311029. The next prime is 1020102311119. The reversal of 1020102311100 is 11132010201.

It is a super-2 number, since 2×1020102311100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840974094 + ... + 840975306.

It is an arithmetic number, because the mean of its divisors is an integer number (10918187910).

Almost surely, 2^{1020102311100} is an apocalyptic number.

1020102311100 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 1020102311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572219059040).

1020102311100 is an abundant number, since it is smaller than the sum of its proper divisors (2124335806980).

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

1020102311100 is a wasteful number, since it uses less digits than its factorization.

1020102311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1020102311100 its reverse (11132010201), we get a palindrome (1031234321301).

The spelling of 1020102311100 in words is "one trillion, twenty billion, one hundred two million, three hundred eleven thousand, one hundred".