10132230121020 has 384 divisors, whose sum is σ = 36272759040000. Its totient is φ = 2300106958848.

The previous prime is 10132230120977. The next prime is 10132230121033. The reversal of 10132230121020 is 2012103223101.

10132230121020 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 301 + 21 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10132230120984 and 10132230121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354024271 + ... + 354052889.

It is an arithmetic number, because the mean of its divisors is an integer number (94460310000).

Almost surely, 2^{10132230121020} is an apocalyptic number.

10132230121020 is a gapful number since it is divisible by the number (10) 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 10132230121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136379520000).

10132230121020 is an abundant number, since it is smaller than the sum of its proper divisors (26140528918980).

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

10132230121020 is a wasteful number, since it uses less digits than its factorization.

10132230121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29282 (or 29274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132230121020 its reverse (2012103223101), we get a palindrome (12144333344121).

The spelling of 10132230121020 in words is "ten trillion, one hundred thirty-two billion, two hundred thirty million, one hundred twenty-one thousand, twenty".