102021121121100 has 144 divisors (see below), whose sum is σ = 296583914914560. Its totient is φ = 27076609644800.

The previous prime is 102021121121083. The next prime is 102021121121141. The reversal of 102021121121100 is 1121121120201.

It is a happy number.

102021121121100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102021121121100.

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, 60087631 + ... + 61762169.

It is an arithmetic number, because the mean of its divisors is an integer number (2059610520240).

Almost surely, 2^{102021121121100} is an apocalyptic number.

102021121121100 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 102021121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148291957457280).

102021121121100 is an abundant number, since it is smaller than the sum of its proper divisors (194562793793460).

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

102021121121100 is a wasteful number, since it uses less digits than its factorization.

102021121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675520 (or 1675513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102021121121100 its reverse (1121121120201), we get a palindrome (103142242241301).

The spelling of 102021121121100 in words is "one hundred two trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".