102111002202330 has 192 divisors, whose sum is σ = 295588873382400. Its totient is φ = 24248486655360.

The previous prime is 102111002202301. The next prime is 102111002202401. The reversal of 102111002202330 is 33202200111201.

102111002202330 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 110 + 0 + 220 + 2 + 330 = 666.

It is a super-2 number, since 2×102111002202330² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7572961 + ... + 16173179.

It is an arithmetic number, because the mean of its divisors is an integer number (1539525382200).

Almost surely, 2^{102111002202330} is an apocalyptic number.

102111002202330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111002202330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147794436691200).

102111002202330 is an abundant number, since it is smaller than the sum of its proper divisors (193477871180070).

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

102111002202330 is a wasteful number, since it uses less digits than its factorization.

102111002202330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600489 (or 8600486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102111002202330 its reverse (33202200111201), we get a palindrome (135313202313531).

The spelling of 102111002202330 in words is "one hundred two trillion, one hundred eleven billion, two million, two hundred two thousand, three hundred thirty".