101102121212010 has 32 divisors (see below), whose sum is σ = 242678985137280. Its totient is φ = 26956799631168.

The previous prime is 101102121211921. The next prime is 101102121212021. The reversal of 101102121212010 is 10212121201101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235158237 + ... + 235587776.

It is an arithmetic number, because the mean of its divisors is an integer number (7583718285540).

Almost surely, 2^{101102121212010} is an apocalyptic number.

101102121212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102121212010 is an abundant number, since it is smaller than the sum of its proper divisors (141576863925270).

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

101102121212010 is a wasteful number, since it uses less digits than its factorization.

101102121212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470753182.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101102121212010 its reverse (10212121201101), we get a palindrome (111314242413111).

The spelling of 101102121212010 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, ten".