101677202130 has 256 divisors, whose sum is σ = 304697769984. Its totient is φ = 21182238720.

The previous prime is 101677202101. The next prime is 101677202149. The reversal of 101677202130 is 31202776101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29982735 + ... + 29986125.

It is an arithmetic number, because the mean of its divisors is an integer number (1190225664).

Almost surely, 2^101677202130 is an apocalyptic number.

101677202130 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 101677202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152348884992).

101677202130 is an abundant number, since it is smaller than the sum of its proper divisors (203020567854).

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

101677202130 is a wasteful number, since it uses less digits than its factorization.

101677202130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689.

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 101677202130 its reverse (31202776101), we get a palindrome (132879978231).

The spelling of 101677202130 in words is "one hundred one billion, six hundred seventy-seven million, two hundred two thousand, one hundred thirty".