1010321132100 has 288 divisors, whose sum is σ = 3459954548736. Its totient is φ = 222832243200.

The previous prime is 1010321132099. The next prime is 1010321132101. The reversal of 1010321132100 is 12311230101.

It is a happy number.

1010321132100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010321132099) and next prime (1010321132101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010321132100.

It is not an unprimeable number, because it can be changed into a prime (1010321132101) 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, 6935614 + ... + 7079786.

It is an arithmetic number, because the mean of its divisors is an integer number (12013731072).

Almost surely, 2^{1010321132100} is an apocalyptic number.

1010321132100 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 1010321132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729977274368).

1010321132100 is an abundant number, since it is smaller than the sum of its proper divisors (2449633416636).

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

1010321132100 is a wasteful number, since it uses less digits than its factorization.

1010321132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144315 (or 144308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010321132100 its reverse (12311230101), we get a palindrome (1022632362201).

The spelling of 1010321132100 in words is "one trillion, ten billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred".