101213131211010 has 1536 divisors, whose sum is σ = 348259565961216. Its totient is φ = 19830666240000.

The previous prime is 101213131210949. The next prime is 101213131211021. The reversal of 101213131211010 is 10112131312101.

101213131211010 is a `hidden beast` number, since 10 + 121 + 313 + 1 + 211 + 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 767 ways as a sum of consecutive naturals, for example, 102132321615 + ... + 102132322605.

It is an arithmetic number, because the mean of its divisors is an integer number (226731488256).

Almost surely, 2^{101213131211010} is an apocalyptic number.

101213131211010 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 101213131211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174129782980608).

101213131211010 is an abundant number, since it is smaller than the sum of its proper divisors (247046434750206).

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

101213131211010 is a wasteful number, since it uses less digits than its factorization.

101213131211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101213131211010 its reverse (10112131312101), we get a palindrome (111325262523111).

The spelling of 101213131211010 in words is "one hundred one trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred eleven thousand, ten".