101214431025 has 12 divisors (see below), whose sum is σ = 167341192752. Its totient is φ = 53981029840.

The previous prime is 101214431009. The next prime is 101214431027. The reversal of 101214431025 is 520134412101.

It is not a de Polignac number, because 101214431025 - 2⁴ = 101214431009 is a prime.

It is a super-2 number, since 2×101214431025² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101214430986 and 101214431004.

It is not an unprimeable number, because it can be changed into a prime (101214431027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674762799 + ... + 674762948.

It is an arithmetic number, because the mean of its divisors is an integer number (13945099396).

Almost surely, 2^101214431025 is an apocalyptic number.

101214431025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101214431025 is a deficient number, since it is larger than the sum of its proper divisors (66126761727).

101214431025 is a wasteful number, since it uses less digits than its factorization.

101214431025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349525760 (or 1349525755 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 101214431025 its reverse (520134412101), we get a palindrome (621348843126).

The spelling of 101214431025 in words is "one hundred one billion, two hundred fourteen million, four hundred thirty-one thousand, twenty-five".