101402312000 has 224 divisors, whose sum is σ = 279792354816. Its totient is φ = 36087552000.

The previous prime is 101402311949. The next prime is 101402312003. The reversal of 101402312000 is 213204101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101402312003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4123742 + ... + 4148258.

Almost surely, 2^101402312000 is an apocalyptic number.

101402312000 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 101402312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139896177408).

101402312000 is an abundant number, since it is smaller than the sum of its proper divisors (178390042816).

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

101402312000 is a wasteful number, since it uses less digits than its factorization.

101402312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24602 (or 24582 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101402312000 its reverse (213204101), we get a palindrome (101615516101).

The spelling of 101402312000 in words is "one hundred one billion, four hundred two million, three hundred twelve thousand".