102111371401820 has 144 divisors (see below), whose sum is σ = 238780888464384. Its totient is φ = 36648624355200.

The previous prime is 102111371401789. The next prime is 102111371401889. The reversal of 102111371401820 is 28104173111201.

102111371401820 is digitally balanced in base 3, 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 47 ways as a sum of consecutive naturals, for example, 69445169 + ... + 70900311.

It is an arithmetic number, because the mean of its divisors is an integer number (1658200614336).

Almost surely, 2^{102111371401820} is an apocalyptic number.

102111371401820 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 102111371401820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119390444232192).

102111371401820 is an abundant number, since it is smaller than the sum of its proper divisors (136669517062564).

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

102111371401820 is a wasteful number, since it uses less digits than its factorization.

102111371401820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455552 (or 1455539 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The spelling of 102111371401820 in words is "one hundred two trillion, one hundred eleven billion, three hundred seventy-one million, four hundred one thousand, eight hundred twenty".