101402420322132 has 240 divisors, whose sum is σ = 269370010010640. Its totient is φ = 33259084185600.

The previous prime is 101402420322089. The next prime is 101402420322143. The reversal of 101402420322132 is 231223024204101.

101402420322132 is a `hidden beast` number, since 1 + 0 + 1 + 402 + 4 + 2 + 0 + 3 + 221 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7754297899716 + 93648122422416 = 2784654^2 + 9677196^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101402420322096 and 101402420322105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13201717332 + ... + 13201725012.

It is an arithmetic number, because the mean of its divisors is an integer number (1122375041711).

Almost surely, 2^{101402420322132} is an apocalyptic number.

101402420322132 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 101402420322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134685005005320).

101402420322132 is an abundant number, since it is smaller than the sum of its proper divisors (167967589688508).

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

101402420322132 is a wasteful number, since it uses less digits than its factorization.

101402420322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101402420322132 its reverse (231223024204101), we get a palindrome (332625444526233).

The spelling of 101402420322132 in words is "one hundred one trillion, four hundred two billion, four hundred twenty million, three hundred twenty-two thousand, one hundred thirty-two".