101948134425 has 24 divisors (see below), whose sum is σ = 168897597600. Its totient is φ = 54261580800.

The previous prime is 101948134373. The next prime is 101948134429. The reversal of 101948134425 is 524431849101.

It is not a de Polignac number, because 101948134425 - 2¹⁸ = 101947872281 is a prime.

It is a super-2 number, since 2×101948134425² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101948134429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347400 + ... + 1421049.

It is an arithmetic number, because the mean of its divisors is an integer number (7037399900).

Almost surely, 2^101948134425 is an apocalyptic number.

101948134425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101948134425 is a deficient number, since it is larger than the sum of its proper divisors (66949463175).

101948134425 is a wasteful number, since it uses less digits than its factorization.

101948134425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768953 (or 2768948 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 101948134425 in words is "one hundred one billion, nine hundred forty-eight million, one hundred thirty-four thousand, four hundred twenty-five".