102140400000 has 384 divisors, whose sum is σ = 346522821120. Its totient is φ = 26643200000.

The previous prime is 102140399981. The next prime is 102140400031. The reversal of 102140400000 is 4041201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×102140400000² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56399095 + ... + 56400905.

It is an arithmetic number, because the mean of its divisors is an integer number (902403180).

Almost surely, 2^102140400000 is an apocalyptic number.

102140400000 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 102140400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173261410560).

102140400000 is an abundant number, since it is smaller than the sum of its proper divisors (244382421120).

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

102140400000 is an frugal number, since it uses more digits than its factorization.

102140400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102140400000 its reverse (4041201), we get a palindrome (102144441201).

The spelling of 102140400000 in words is "one hundred two billion, one hundred forty million, four hundred thousand".