101512503260010 has 96 divisors (see below), whose sum is σ = 266083586271360. Its totient is φ = 26849921616000.

The previous prime is 101512503259997. The next prime is 101512503260023. The reversal of 101512503260010 is 10062305215101.

101512503260010 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 1 + 2 + 50 + 3 + 2 + 600 + 1 + 0 = 666.

101512503260010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101512503259997) and next prime (101512503260023).

It is a super-2 number, since 2×101512503260010² (a number of 29 digits) contains 22 as substring.

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, 3288400 + ... + 14623220.

It is an arithmetic number, because the mean of its divisors is an integer number (2771704023660).

Almost surely, 2^{101512503260010} is an apocalyptic number.

101512503260010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101512503260010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133041793135680).

101512503260010 is an abundant number, since it is smaller than the sum of its proper divisors (164571083011350).

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

101512503260010 is a wasteful number, since it uses less digits than its factorization.

101512503260010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335644 (or 11335641 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 101512503260010 its reverse (10062305215101), we get a palindrome (111574808475111).

The spelling of 101512503260010 in words is "one hundred one trillion, five hundred twelve billion, five hundred three million, two hundred sixty thousand, ten".