102021062378976 has 384 divisors, whose sum is σ = 324915810468480. Its totient is φ = 30953904537600.

The previous prime is 102021062378957. The next prime is 102021062379073. The reversal of 102021062378976 is 679873260120201.

It is a happy number.

102021062378976 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 1 + 0 + 623 + 7 + 8 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4330070236 + ... + 4330093796.

It is an arithmetic number, because the mean of its divisors is an integer number (846134923095).

Almost surely, 2^{102021062378976} is an apocalyptic number.

102021062378976 is a gapful number since it is divisible by the number (16) 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 102021062378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162457905234240).

102021062378976 is an abundant number, since it is smaller than the sum of its proper divisors (222894748089504).

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

102021062378976 is a wasteful number, since it uses less digits than its factorization.

102021062378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28947 (or 28933 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 102021062378976 in words is "one hundred two trillion, twenty-one billion, sixty-two million, three hundred seventy-eight thousand, nine hundred seventy-six".