101221211020100 has 144 divisors (see below), whose sum is σ = 228709387495680. Its totient is φ = 38836890892800.

The previous prime is 101221211020091. The next prime is 101221211020109. The reversal of 101221211020100 is 1020112122101.

It is an interprime number because it is at equal distance from previous prime (101221211020091) and next prime (101221211020109).

It is a super-2 number, since 2×101221211020100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221211020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3456167657 + ... + 3456196943.

Almost surely, 2^{101221211020100} is an apocalyptic number.

101221211020100 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 101221211020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114354693747840).

101221211020100 is an abundant number, since it is smaller than the sum of its proper divisors (127488176475580).

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

101221211020100 is a wasteful number, since it uses less digits than its factorization.

101221211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37078 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101221211020100 its reverse (1020112122101), we get a palindrome (102241323142201).

The spelling of 101221211020100 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred eleven million, twenty thousand, one hundred".