102012350211420 has 192 divisors, whose sum is σ = 314703498170880. Its totient is φ = 24484091776000.

The previous prime is 102012350211367. The next prime is 102012350211433. The reversal of 102012350211420 is 24112053210201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873718719 + ... + 1873773161.

It is an arithmetic number, because the mean of its divisors is an integer number (1639080719640).

Almost surely, 2^{102012350211420} is an apocalyptic number.

102012350211420 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 102012350211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157351749085440).

102012350211420 is an abundant number, since it is smaller than the sum of its proper divisors (212691147959460).

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

102012350211420 is a wasteful number, since it uses less digits than its factorization.

102012350211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82676 (or 82674 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 102012350211420 in words is "one hundred two trillion, twelve billion, three hundred fifty million, two hundred eleven thousand, four hundred twenty".