102020010312000 has 896 divisors, whose sum is σ = 381167499548160. Its totient is φ = 23825203200000.

The previous prime is 102020010311987. The next prime is 102020010312067. The reversal of 102020010312000 is 213010020201.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 986516296 + ... + 986619704.

Almost surely, 2^{102020010312000} is an apocalyptic number.

102020010312000 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 102020010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190583749774080).

102020010312000 is an abundant number, since it is smaller than the sum of its proper divisors (279147489236160).

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

102020010312000 is a wasteful number, since it uses less digits than its factorization.

102020010312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103588 (or 103568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102020010312000 its reverse (213010020201), we get a palindrome (102233020332201).

The spelling of 102020010312000 in words is "one hundred two trillion, twenty billion, ten million, three hundred twelve thousand".