102101102133030 has 1152 divisors, whose sum is σ = 375249074264064. Its totient is φ = 18706919362560.

The previous prime is 102101102132959. The next prime is 102101102133061. The reversal of 102101102133030 is 30331201101201.

102101102133030 is a `hidden beast` number, since 10 + 210 + 110 + 2 + 1 + 330 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102101102132994 and 102101102133012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19533401277 + ... + 19533406503.

It is an arithmetic number, because the mean of its divisors is an integer number (325737043632).

Almost surely, 2^{102101102133030} is an apocalyptic number.

102101102133030 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 102101102133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187624537132032).

102101102133030 is an abundant number, since it is smaller than the sum of its proper divisors (273147972131034).

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

102101102133030 is a wasteful number, since it uses less digits than its factorization.

102101102133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102101102133030 its reverse (30331201101201), we get a palindrome (132432303234231).

The spelling of 102101102133030 in words is "one hundred two trillion, one hundred one billion, one hundred two million, one hundred thirty-three thousand, thirty".