101488466142 has 192 divisors, whose sum is σ = 271130296320. Its totient is φ = 26793467712.

The previous prime is 101488466137. The next prime is 101488466143. The reversal of 101488466142 is 241664884101.

101488466142 is a `hidden beast` number, since 1 + 0 + 1 + 48 + 8 + 466 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101488466143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16517923 + ... + 16524065.

It is an arithmetic number, because the mean of its divisors is an integer number (1412136960).

Almost surely, 2^101488466142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101488466142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135565148160).

101488466142 is an abundant number, since it is smaller than the sum of its proper divisors (169641830178).

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

101488466142 is a wasteful number, since it uses less digits than its factorization.

101488466142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 101488466142 in words is "one hundred one billion, four hundred eighty-eight million, four hundred sixty-six thousand, one hundred forty-two".