101002137 has 16 divisors (see below), whose sum is σ = 136028160. Its totient is φ = 66659600.

The previous prime is 101002129. The next prime is 101002169. The reversal of 101002137 is 731200101.

It is a cyclic number.

It is not a de Polignac number, because 101002137 - 2³ = 101002129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205462 + ... + 205952.

It is an arithmetic number, because the mean of its divisors is an integer number (8501760).

Almost surely, 2^101002137 is an apocalyptic number.

It is an amenable number.

101002137 is a deficient number, since it is larger than the sum of its proper divisors (35026023).

101002137 is a wasteful number, since it uses less digits than its factorization.

101002137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101002137 is about 10049.9819402823. The cubic root of 101002137 is about 465.7042352553.

Adding to 101002137 its reverse (731200101), we get a palindrome (832202238).

The spelling of 101002137 in words is "one hundred one million, two thousand, one hundred thirty-seven".