101420411146362 has 192 divisors, whose sum is σ = 278816667816960. Its totient is φ = 25880179276800.

The previous prime is 101420411146321. The next prime is 101420411146423. The reversal of 101420411146362 is 263641114024101.

101420411146362 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 0 + 4 + 1 + 1 + 14 + 636 + 2 = 666.

101420411146362 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18129162 + ... + 23054442.

It is an arithmetic number, because the mean of its divisors is an integer number (1452170144880).

Almost surely, 2^{101420411146362} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101420411146362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139408333908480).

101420411146362 is an abundant number, since it is smaller than the sum of its proper divisors (177396256670598).

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

101420411146362 is a wasteful number, since it uses less digits than its factorization.

101420411146362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925569 (or 4925566 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 101420411146362 in words is "one hundred one trillion, four hundred twenty billion, four hundred eleven million, one hundred forty-six thousand, three hundred sixty-two".