101669121120 has 192 divisors, whose sum is σ = 366395291136. Its totient is φ = 23214120960.

The previous prime is 101669121119. The next prime is 101669121121. The reversal of 101669121120 is 21121966101.

It is an interprime number because it is at equal distance from previous prime (101669121119) and next prime (101669121121).

It is a super-2 number, since 2×101669121120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101669121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3267235 + ... + 3298205.

It is an arithmetic number, because the mean of its divisors is an integer number (1908308808).

Almost surely, 2^101669121120 is an apocalyptic number.

101669121120 is a gapful number since it is divisible by the number (10) 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 101669121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183197645568).

101669121120 is an abundant number, since it is smaller than the sum of its proper divisors (264726170016).

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

101669121120 is a wasteful number, since it uses less digits than its factorization.

101669121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31973 (or 31965 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 101669121120 in words is "one hundred one billion, six hundred sixty-nine million, one hundred twenty-one thousand, one hundred twenty".