101130202122012 has 1152 divisors, whose sum is σ = 328461970636800. Its totient is φ = 26570349388800.

The previous prime is 101130202121951. The next prime is 101130202122041. The reversal of 101130202122012 is 210221202031101.

101130202122012 is a `hidden beast` number, since 101 + 130 + 20 + 212 + 201 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 271126547058 + ... + 271126547430.

It is an arithmetic number, because the mean of its divisors is an integer number (285123238400).

Almost surely, 2^{101130202122012} is an apocalyptic number.

101130202122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130202122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164230985318400).

101130202122012 is an abundant number, since it is smaller than the sum of its proper divisors (227331768514788).

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

101130202122012 is a wasteful number, since it uses less digits than its factorization.

101130202122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101130202122012 its reverse (210221202031101), we get a palindrome (311351404153113).

The spelling of 101130202122012 in words is "one hundred one trillion, one hundred thirty billion, two hundred two million, one hundred twenty-two thousand, twelve".