101410142000 has 80 divisors (see below), whose sum is σ = 246310401792. Its totient is φ = 40381977600.

The previous prime is 101410141979. The next prime is 101410142023. The reversal of 101410142000 is 241014101.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332312 + ... + 559688.

Almost surely, 2^101410142000 is an apocalyptic number.

101410142000 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 101410142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123155200896).

101410142000 is an abundant number, since it is smaller than the sum of its proper divisors (144900259792).

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

101410142000 is a wasteful number, since it uses less digits than its factorization.

101410142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227623 (or 227607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101410142000 its reverse (241014101), we get a palindrome (101651156101).

The spelling of 101410142000 in words is "one hundred one billion, four hundred ten million, one hundred forty-two thousand".