10132101332010 has 192 divisors, whose sum is σ = 31554213230592. Its totient is φ = 2205457803648.

The previous prime is 10132101331931. The next prime is 10132101332063. The reversal of 10132101332010 is 1023310123101.

10132101332010 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 0 + 1 + 332 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1749037 + ... + 4829423.

It is an arithmetic number, because the mean of its divisors is an integer number (164344860576).

Almost surely, 2^{10132101332010} is an apocalyptic number.

10132101332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132101332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777106615296).

10132101332010 is an abundant number, since it is smaller than the sum of its proper divisors (21422111898582).

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

10132101332010 is a wasteful number, since it uses less digits than its factorization.

10132101332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080657 (or 3080654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132101332010 its reverse (1023310123101), we get a palindrome (11155411455111).

The spelling of 10132101332010 in words is "ten trillion, one hundred thirty-two billion, one hundred one million, three hundred thirty-two thousand, ten".