101415120000 has 160 divisors (see below), whose sum is σ = 336622933680. Its totient is φ = 27043968000.

The previous prime is 101415119977. The next prime is 101415120007. The reversal of 101415120000 is 21514101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×101415120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101415120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28719 + ... + 451281.

Almost surely, 2^101415120000 is an apocalyptic number.

101415120000 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 101415120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168311466840).

101415120000 is an abundant number, since it is smaller than the sum of its proper divisors (235207813680).

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

101415120000 is an frugal number, since it uses more digits than its factorization.

101415120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422600 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101415120000 its reverse (21514101), we get a palindrome (101436634101).

The spelling of 101415120000 in words is "one hundred one billion, four hundred fifteen million, one hundred twenty thousand".